37998385152 has 768 divisors, whose sum is σ = 135757440000. Its totient is φ = 9364045824.

The previous prime is 37998385151. The next prime is 37998385153. The reversal of 37998385152 is 25158389973.

It is an interprime number because it is at equal distance from previous prime (37998385151) and next prime (37998385153).

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37998385151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520525788 + ... + 520525860.

It is an arithmetic number, because the mean of its divisors is an integer number (176767500).

Almost surely, 2^37998385152 is an apocalyptic number.

37998385152 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 37998385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67878720000).

37998385152 is an abundant number, since it is smaller than the sum of its proper divisors (97759054848).

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

37998385152 is a wasteful number, since it uses less digits than its factorization.

37998385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 117 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 60.

The spelling of 37998385152 in words is "thirty-seven billion, nine hundred ninety-eight million, three hundred eighty-five thousand, one hundred fifty-two".