2368401672 has 384 divisors, whose sum is σ = 7859980800. Its totient is φ = 588736512.

The previous prime is 2368401653. The next prime is 2368401689. The reversal of 2368401672 is 2761048632.

It is a happy number.

It is a super-3 number, since 3×2368401672³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2368401672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29979729 + ... + 29979807.

It is an arithmetic number, because the mean of its divisors is an integer number (20468700).

Almost surely, 2^2368401672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2368401672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929990400).

2368401672 is an abundant number, since it is smaller than the sum of its proper divisors (5491579128).

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

2368401672 is a wasteful number, since it uses less digits than its factorization.

2368401672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2368401672 is about 48666.2272217603. The cubic root of 2368401672 is about 1332.9641001485.

The spelling of 2368401672 in words is "two billion, three hundred sixty-eight million, four hundred one thousand, six hundred seventy-two".