3736412400 has 120 divisors (see below), whose sum is σ = 13678858624. Its totient is φ = 854035200.

The previous prime is 3736412389. The next prime is 3736412401. The reversal of 3736412400 is 42146373.

3736412400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3736412401) 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, 214006 + ... + 230805.

Almost surely, 2^3736412400 is an apocalyptic number.

3736412400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3736412400 is an abundant number, since it is smaller than the sum of its proper divisors (9942446224).

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

3736412400 is a wasteful number, since it uses less digits than its factorization.

3736412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444839 (or 444828 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3736412400 is about 61126.2006017060. The cubic root of 3736412400 is about 1551.7375450728.

Adding to 3736412400 its reverse (42146373), we get a palindrome (3778558773).

The spelling of 3736412400 in words is "three billion, seven hundred thirty-six million, four hundred twelve thousand, four hundred".