3877350400 has 396 divisors, whose sum is σ = 12240093816. Its totient is φ = 1204224000.

The previous prime is 3877350391. The next prime is 3877350401. The reversal of 3877350400 is 40537783.

It is a super-2 number, since 2×3877350400² = 30067692248760320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3877350400.

It is not an unprimeable number, because it can be changed into a prime (3877350401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13798260 + ... + 13798540.

Almost surely, 2^3877350400 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 3877350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120046908).

3877350400 is an abundant number, since it is smaller than the sum of its proper divisors (8362743416).

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

3877350400 is a wasteful number, since it uses less digits than its factorization.

3877350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 3877350400 is about 62268.3739951510. The cubic root of 3877350400 is about 1571.0078319486.

The spelling of 3877350400 in words is "three billion, eight hundred seventy-seven million, three hundred fifty thousand, four hundred".