3645101556 has 36 divisors (see below), whose sum is σ = 9438742404. Its totient is φ = 1185398400.

The previous prime is 3645101527. The next prime is 3645101609. The reversal of 3645101556 is 6551015463.

3645101556 is a `hidden beast` number, since 3 + 645 + 1 + 0 + 1 + 5 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1622800656 + 2022300900 = 40284^2 + 44970^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×3645101556³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3645101556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1233315 + ... + 1236266.

It is an arithmetic number, because the mean of its divisors is an integer number (262187289).

Almost surely, 2^3645101556 is an apocalyptic number.

3645101556 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3645101556 is an abundant number, since it is smaller than the sum of its proper divisors (5793640848).

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

3645101556 is a wasteful number, since it uses less digits than its factorization.

3645101556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469632 (or 2469627 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 3645101556 is about 60374.6764463380. The cubic root of 3645101556 is about 1538.9926447419.

The spelling of 3645101556 in words is "three billion, six hundred forty-five million, one hundred one thousand, five hundred fifty-six".