3801206400 has 96 divisors (see below), whose sum is σ = 12520255200. Its totient is φ = 1013652480.

The previous prime is 3801206369. The next prime is 3801206411. The reversal of 3801206400 is 46021083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188380 + ... + 207579.

It is an arithmetic number, because the mean of its divisors is an integer number (130419325).

Almost surely, 2^3801206400 is an apocalyptic number.

3801206400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3801206400 is an abundant number, since it is smaller than the sum of its proper divisors (8719048800).

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

3801206400 is a wasteful number, since it uses less digits than its factorization.

3801206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395986 (or 395969 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3801206400 is about 61653.9244493001. The cubic root of 3801206400 is about 1560.6558714846.

Adding to 3801206400 its reverse (46021083), we get a palindrome (3847227483).

The spelling of 3801206400 in words is "three billion, eight hundred one million, two hundred six thousand, four hundred".