3800432539440 has 280 divisors, whose sum is σ = 13556048882640. Its totient is φ = 989879450112.

The previous prime is 3800432539381. The next prime is 3800432539447. The reversal of 3800432539440 is 449352340083.

3800432539440 is a `hidden beast` number, since 3 + 80 + 0 + 4 + 32 + 539 + 4 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3800432539447) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1750026 + ... + 3265494.

Almost surely, 2^{3800432539440} is an apocalyptic number.

3800432539440 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 3800432539440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778024441320).

3800432539440 is an abundant number, since it is smaller than the sum of its proper divisors (9755616343200).

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

3800432539440 is a wasteful number, since it uses less digits than its factorization.

3800432539440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515543 (or 1515522 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 3800432539440 in words is "three trillion, eight hundred billion, four hundred thirty-two million, five hundred thirty-nine thousand, four hundred forty".