3604100400 has 120 divisors (see below), whose sum is σ = 12827966160. Its totient is φ = 961090560.

The previous prime is 3604100399. The next prime is 3604100407. The reversal of 3604100400 is 40014063.

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 (18).

It is not an unprimeable number, because it can be changed into a prime (3604100407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156057 + ... + 177656.

It is an arithmetic number, because the mean of its divisors is an integer number (106899718).

Almost surely, 2^3604100400 is an apocalyptic number.

3604100400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3604100400 is an abundant number, since it is smaller than the sum of its proper divisors (9223865760).

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

3604100400 is a wasteful number, since it uses less digits than its factorization.

3604100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333740 (or 333723 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3604100400 is about 60034.1602756297. The cubic root of 3604100400 is about 1533.2005283004.

Adding to 3604100400 its reverse (40014063), we get a palindrome (3644114463).

The spelling of 3604100400 in words is "three billion, six hundred four million, one hundred thousand, four hundred".