3607797952 has 112 divisors (see below), whose sum is σ = 8074481184. Its totient is φ = 1598361600.

The previous prime is 3607797931. The next prime is 3607797967. The reversal of 3607797952 is 2597977063.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3607797893 and 3607797902.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3492028 + ... + 3493060.

It is an arithmetic number, because the mean of its divisors is an integer number (72093582).

Almost surely, 2^3607797952 is an apocalyptic number.

3607797952 is a gapful number since it is divisible by the number (32) 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 3607797952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037240592).

3607797952 is an abundant number, since it is smaller than the sum of its proper divisors (4466683232).

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

3607797952 is a wasteful number, since it uses less digits than its factorization.

3607797952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 55.

The square root of 3607797952 is about 60064.9477815473. The cubic root of 3607797952 is about 1533.7246675178.

The spelling of 3607797952 in words is "three billion, six hundred seven million, seven hundred ninety-seven thousand, nine hundred fifty-two".