3670473559104 has 945 divisors, whose sum is σ = 12469583175973. Its totient is φ = 1066744166400.

The previous prime is 3670473559097. The next prime is 3670473559111. The reversal of 3670473559104 is 4019553740763.

The square root of 3670473559104 is 1915848.

It is a perfect power (a square), and thus also a powerful number.

3670473559104 is a `hidden beast` number, since 3 + 6 + 7 + 0 + 4 + 73 + 559 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3670473559097) and next prime (3670473559111).

It can be written as a sum of positive squares in only one way, i.e., 176863984704 + 3493609574400 = 420552^2 + 1869120^2 .

It is a super-2 number, since 2×3670473559104² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 62211416227 + ... + 62211416285.

Almost surely, 2^{3670473559104} is an apocalyptic number.

3670473559104 is the 1915848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3670473559104

3670473559104 is an abundant number, since it is smaller than the sum of its proper divisors (8799109616869).

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

3670473559104 is an equidigital number, since it uses as much as digits as its factorization.

3670473559104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 3670473559104 in words is "three trillion, six hundred seventy billion, four hundred seventy-three million, five hundred fifty-nine thousand, one hundred four".