3913550400 has 336 divisors, whose sum is σ = 13381516544. Its totient is φ = 1000581120.

The previous prime is 3913550393. The next prime is 3913550429. The reversal of 3913550400 is 40553193.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13828659 + ... + 13828941.

Almost surely, 2^3913550400 is an apocalyptic number.

3913550400 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 3913550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690758272).

3913550400 is an abundant number, since it is smaller than the sum of its proper divisors (9467966144).

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

3913550400 is a wasteful number, since it uses less digits than its factorization.

3913550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 3913550400 is about 62558.3759379989. The cubic root of 3913550400 is about 1575.8818140822.

The spelling of 3913550400 in words is "three billion, nine hundred thirteen million, five hundred fifty thousand, four hundred".