3712667400 has 720 divisors, whose sum is σ = 14993272140. Its totient is φ = 846028800.

The previous prime is 3712667363. The next prime is 3712667411. The reversal of 3712667400 is 47662173.

3712667400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 421809444 + 3290857956 = 20538^2 + 57366^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 60863370 + ... + 60863430.

Almost surely, 2^3712667400 is an apocalyptic number.

3712667400 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 3712667400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7496636070).

3712667400 is an abundant number, since it is smaller than the sum of its proper divisors (11280604740).

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

3712667400 is a wasteful number, since it uses less digits than its factorization.

3712667400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3712667400 is about 60931.6617203240. The cubic root of 3712667400 is about 1548.4434460592.

The spelling of 3712667400 in words is "three billion, seven hundred twelve million, six hundred sixty-seven thousand, four hundred".