3653904038400 has 2400 divisors, whose sum is σ = 17329984417152. Its totient is φ = 738135244800.

The previous prime is 3653904038329. The next prime is 3653904038423. The reversal of 3653904038400 is 48304093563.

3653904038400 is a `hidden beast` number, since 3 + 6 + 539 + 0 + 40 + 38 + 40 + 0 = 666.

3653904038400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2953842582 + ... + 2953843818.

Almost surely, 2^{3653904038400} is an apocalyptic number.

3653904038400 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 3653904038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664992208576).

3653904038400 is an abundant number, since it is smaller than the sum of its proper divisors (13676080378752).

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

3653904038400 is a wasteful number, since it uses less digits than its factorization.

3653904038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3653904038400 in words is "three trillion, six hundred fifty-three billion, nine hundred four million, thirty-eight thousand, four hundred".