3695567040 has 672 divisors, whose sum is σ = 14789578752. Its totient is φ = 838656000.

The previous prime is 3695567033. The next prime is 3695567047. The reversal of 3695567040 is 407655963.

It is an interprime number because it is at equal distance from previous prime (3695567033) and next prime (3695567047).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3695567047) by changing a digit.

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, 52050205 + ... + 52050275.

Almost surely, 2^3695567040 is an apocalyptic number.

3695567040 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 3695567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7394789376).

3695567040 is an abundant number, since it is smaller than the sum of its proper divisors (11094011712).

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

3695567040 is a wasteful number, since it uses less digits than its factorization.

3695567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 3695567040 is about 60791.1756754218. The cubic root of 3695567040 is about 1546.0624357311.

The spelling of 3695567040 in words is "three billion, six hundred ninety-five million, five hundred sixty-seven thousand, forty".