373846378752 has 864 divisors, whose sum is σ = 1475937275904. Its totient is φ = 91371110400.

The previous prime is 373846378747. The next prime is 373846378757. The reversal of 373846378752 is 257873648373.

It is a happy number.

373846378752 is a `hidden beast` number, since 3 + 7 + 38 + 463 + 78 + 75 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (373846378747) and next prime (373846378757).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×373846378752² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 373846378752.

It is not an unprimeable number, because it can be changed into a prime (373846378757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81427977 + ... + 81432567.

It is an arithmetic number, because the mean of its divisors is an integer number (1708260736).

Almost surely, 2^373846378752 is an apocalyptic number.

373846378752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 373846378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737968637952).

373846378752 is an abundant number, since it is smaller than the sum of its proper divisors (1102090897152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

373846378752 is a wasteful number, since it uses less digits than its factorization.

373846378752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4631 counting only the distinct ones).

The product of its digits is 142248960, while the sum is 63.

The spelling of 373846378752 in words is "three hundred seventy-three billion, eight hundred forty-six million, three hundred seventy-eight thousand, seven hundred fifty-two".