3874237646400 has 1008 divisors, whose sum is σ = 16115824146240. Its totient is φ = 906793574400.

The previous prime is 3874237646369. The next prime is 3874237646459. The reversal of 3874237646400 is 46467324783.

It is a super-2 number, since 2×3874237646400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124011582 + ... + 124042818.

It is an arithmetic number, because the mean of its divisors is an integer number (15987920780).

Almost surely, 2^{3874237646400} is an apocalyptic number.

3874237646400 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 3874237646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057912073120).

3874237646400 is an abundant number, since it is smaller than the sum of its proper divisors (12241586499840).

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

3874237646400 is a wasteful number, since it uses less digits than its factorization.

3874237646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31314 (or 31287 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 3874237646400 in words is "three trillion, eight hundred seventy-four billion, two hundred thirty-seven million, six hundred forty-six thousand, four hundred".