3890785437000 has 768 divisors, whose sum is σ = 16409908869120. Its totient is φ = 807782976000.

The previous prime is 3890785436999. The next prime is 3890785437017. The reversal of 3890785437000 is 7345870983.

3890785437000 is a `hidden beast` number, since 3 + 8 + 90 + 7 + 8 + 543 + 7 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3890785437000² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1388077599 + ... + 1388080401.

It is an arithmetic number, because the mean of its divisors is an integer number (21367068840).

Almost surely, 2^{3890785437000} is an apocalyptic number.

3890785437000 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 3890785437000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8204954434560).

3890785437000 is an abundant number, since it is smaller than the sum of its proper divisors (12519123432120).

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

3890785437000 is a wasteful number, since it uses less digits than its factorization.

3890785437000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4851 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3890785437000 in words is "three trillion, eight hundred ninety billion, seven hundred eighty-five million, four hundred thirty-seven thousand".