3648400400040 has 64 divisors (see below), whose sum is σ = 11940219495360. Its totient is φ = 884460702720.

The previous prime is 3648400399997. The next prime is 3648400400089. The reversal of 3648400400040 is 400040048463.

3648400400040 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 (33).

It is a junction number, because it is equal to n+sod(n) for n = 3648400399974 and 3648400400010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381968529 + ... + 1381971168.

It is an arithmetic number, because the mean of its divisors is an integer number (186565929615).

Almost surely, 2^{3648400400040} is an apocalyptic number.

3648400400040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3648400400040 is an abundant number, since it is smaller than the sum of its proper divisors (8291819095320).

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

3648400400040 is a wasteful number, since it uses less digits than its factorization.

3648400400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763939722 (or 2763939718 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 3648400400040 in words is "three trillion, six hundred forty-eight billion, four hundred million, four hundred thousand, forty".