3696675840 has 1056 divisors, whose sum is σ = 16465740480. Its totient is φ = 778567680.

The previous prime is 3696675839. The next prime is 3696675869. The reversal of 3696675840 is 485766963.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217451512 + ... + 217451528.

Almost surely, 2^3696675840 is an apocalyptic number.

3696675840 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 3696675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232870240).

3696675840 is an abundant number, since it is smaller than the sum of its proper divisors (12769064640).

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

3696675840 is a wasteful number, since it uses less digits than its factorization.

3696675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3696675840 is about 60800.2947361277. The cubic root of 3696675840 is about 1546.2170446262.

The spelling of 3696675840 in words is "three billion, six hundred ninety-six million, six hundred seventy-five thousand, eight hundred forty".