3690534536640 has 672 divisors, whose sum is σ = 15199009032960. Its totient is φ = 840542717952.

The previous prime is 3690534536609. The next prime is 3690534536657. The reversal of 3690534536640 is 466354350963.

3690534536640 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 534 + 5 + 3 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3690534536640² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119795479 + ... + 119826281.

Almost surely, 2^{3690534536640} is an apocalyptic number.

3690534536640 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 3690534536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599504516480).

3690534536640 is an abundant number, since it is smaller than the sum of its proper divisors (11508474496320).

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

3690534536640 is a wasteful number, since it uses less digits than its factorization.

3690534536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31126 (or 31103 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 54.

The spelling of 3690534536640 in words is "three trillion, six hundred ninety billion, five hundred thirty-four million, five hundred thirty-six thousand, six hundred forty".