3862790265600 has 3240 divisors, whose sum is σ = 17941357429632. Its totient is φ = 789007564800.

The previous prime is 3862790265589. The next prime is 3862790265601. The reversal of 3862790265600 is 65620972683.

3862790265600 is a `hidden beast` number, since 3 + 8 + 6 + 2 + 7 + 9 + 0 + 26 + 5 + 600 = 666.

It is a super-2 number, since 2×3862790265600² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3862790265601) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 72882835174 + ... + 72882835226.

Almost surely, 2^{3862790265600} is an apocalyptic number.

3862790265600 is a gapful number since it is divisible by the number (30) 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 3862790265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8970678714816).

3862790265600 is an abundant number, since it is smaller than the sum of its proper divisors (14078567164032).

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

3862790265600 is a wasteful number, since it uses less digits than its factorization.

3862790265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3862790265600 in words is "three trillion, eight hundred sixty-two billion, seven hundred ninety million, two hundred sixty-five thousand, six hundred".