3914727629400 has 576 divisors, whose sum is σ = 15694696144800. Its totient is φ = 894272762880.

The previous prime is 3914727629359. The next prime is 3914727629509. The reversal of 3914727629400 is 49267274193.

3914727629400 is a `hidden beast` number, since 3 + 9 + 1 + 4 + 7 + 2 + 7 + 629 + 4 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 623659062 + ... + 623665338.

Almost surely, 2^{3914727629400} is an apocalyptic number.

3914727629400 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 3914727629400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7847348072400).

3914727629400 is an abundant number, since it is smaller than the sum of its proper divisors (11779968515400).

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

3914727629400 is a wasteful number, since it uses less digits than its factorization.

3914727629400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8673 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 3914727629400 in words is "three trillion, nine hundred fourteen billion, seven hundred twenty-seven million, six hundred twenty-nine thousand, four hundred".