3667415625 has 72 divisors (see below), whose sum is σ = 6970803840. Its totient is φ = 1852740000.

The previous prime is 3667415569. The next prime is 3667415659. The reversal of 3667415625 is 5265147663.

3667415625 is a `hidden beast` number, since 3 + 6 + 6 + 7 + 4 + 15 + 625 = 666.

It is not a de Polignac number, because 3667415625 - 2¹⁷ = 3667284553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 530944 + ... + 537806.

It is an arithmetic number, because the mean of its divisors is an integer number (96816720).

Almost surely, 2^3667415625 is an apocalyptic number.

It is an amenable number.

3667415625 is a deficient number, since it is larger than the sum of its proper divisors (3303388215).

3667415625 is an equidigital number, since it uses as much as digits as its factorization.

3667415625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6913 (or 6890 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 3667415625 is about 60559.1910860771. The cubic root of 3667415625 is about 1542.1266543961.

The spelling of 3667415625 in words is "three billion, six hundred sixty-seven million, four hundred fifteen thousand, six hundred twenty-five".