3706718400 has 504 divisors, whose sum is σ = 16430329344. Its totient is φ = 769996800.

The previous prime is 3706718377. The next prime is 3706718401. The reversal of 3706718400 is 48176073.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×3706718400² = 27479522593797120000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3706718401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1107129 + ... + 1110471.

Almost surely, 2^3706718400 is an apocalyptic number.

3706718400 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 3706718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8215164672).

3706718400 is an abundant number, since it is smaller than the sum of its proper divisors (12723610944).

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

3706718400 is a wasteful number, since it uses less digits than its factorization.

3706718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3706718400 is about 60882.8251644091. The cubic root of 3706718400 is about 1547.6159534440.

The spelling of 3706718400 in words is "three billion, seven hundred six million, seven hundred eighteen thousand, four hundred".