3695639040 has 320 divisors, whose sum is σ = 13262008320. Its totient is φ = 975421440.

The previous prime is 3695639021. The next prime is 3695639071. The reversal of 3695639040 is 409365963.

It is a happy number.

3695639040 is a `hidden beast` number, since 3 + 6 + 9 + 5 + 639 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 8778030 + ... + 8778450.

It is an arithmetic number, because the mean of its divisors is an integer number (41443776).

Almost surely, 2^3695639040 is an apocalyptic number.

3695639040 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 3695639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631004160).

3695639040 is an abundant number, since it is smaller than the sum of its proper divisors (9566369280).

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

3695639040 is a wasteful number, since it uses less digits than its factorization.

3695639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 3695639040 is about 60791.7678637494. The cubic root of 3695639040 is about 1546.0724762086.

The spelling of 3695639040 in words is "three billion, six hundred ninety-five million, six hundred thirty-nine thousand, forty".