3365507952 has 120 divisors (see below), whose sum is σ = 9993400560. Its totient is φ = 1053665280.

The previous prime is 3365507933. The next prime is 3365507953. The reversal of 3365507952 is 2597055633.

It is a happy number.

3365507952 is a `hidden beast` number, since 3 + 3 + 6 + 550 + 7 + 95 + 2 = 666.

It is a super-2 number, since 2×3365507952² = 22653287549950468608, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 3365507898 and 3365507907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365507953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1514202 + ... + 1516422.

It is an arithmetic number, because the mean of its divisors is an integer number (83278338).

Almost surely, 2^3365507952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3365507952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996700280).

3365507952 is an abundant number, since it is smaller than the sum of its proper divisors (6627892608).

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

3365507952 is a wasteful number, since it uses less digits than its factorization.

3365507952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The square root of 3365507952 is about 58012.9981297295. The cubic root of 3365507952 is about 1498.5924502823.

The spelling of 3365507952 in words is "three billion, three hundred sixty-five million, five hundred seven thousand, nine hundred fifty-two".