3877936430400 has 420 divisors, whose sum is σ = 14263260922240. Its totient is φ = 1033467724800.

The previous prime is 3877936430327. The next prime is 3877936430531. The reversal of 3877936430400 is 40346397783.

It is a happy number.

3877936430400 is a `hidden beast` number, since 3 + 87 + 7 + 93 + 6 + 430 + 40 + 0 = 666.

3877936430400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 227957895 + ... + 227974905.

Almost surely, 2^{3877936430400} is an apocalyptic number.

3877936430400 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 3877936430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131630461120).

3877936430400 is an abundant number, since it is smaller than the sum of its proper divisors (10385324491840).

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

3877936430400 is a wasteful number, since it uses less digits than its factorization.

3877936430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18804 (or 18780 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 3877936430400 in words is "three trillion, eight hundred seventy-seven billion, nine hundred thirty-six million, four hundred thirty thousand, four hundred".