3695388480 has 784 divisors, whose sum is σ = 15777813504. Its totient is φ = 806215680.

The previous prime is 3695388461. The next prime is 3695388493. The reversal of 3695388480 is 848835963.

It is a happy number.

3695388480 is a `hidden beast` number, since 3 + 69 + 538 + 8 + 48 + 0 = 666.

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

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 50621724 + ... + 50621796.

Almost surely, 2^3695388480 is an apocalyptic number.

3695388480 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 3695388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7888906752).

3695388480 is an abundant number, since it is smaller than the sum of its proper divisors (12082425024).

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

3695388480 is an equidigital number, since it uses as much as digits as its factorization.

3695388480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 3695388480 is about 60789.7070234756. The cubic root of 3695388480 is about 1546.0375347843.

The spelling of 3695388480 in words is "three billion, six hundred ninety-five million, three hundred eighty-eight thousand, four hundred eighty".