3834680400 has 120 divisors (see below), whose sum is σ = 13648660160. Its totient is φ = 1022578560.

The previous prime is 3834680387. The next prime is 3834680419. The reversal of 3834680400 is 40864383.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166732 + ... + 188331.

Almost surely, 2^3834680400 is an apocalyptic number.

3834680400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3834680400 is an abundant number, since it is smaller than the sum of its proper divisors (9813979760).

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

3834680400 is a wasteful number, since it uses less digits than its factorization.

3834680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355090 (or 355073 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3834680400 is about 61924.7963258661. The cubic root of 3834680400 is about 1565.2236136226.

The spelling of 3834680400 in words is "three billion, eight hundred thirty-four million, six hundred eighty thousand, four hundred".