3362609376 has 240 divisors, whose sum is σ = 11363758560. Its totient is φ = 955514880.

The previous prime is 3362609359. The next prime is 3362609377. The reversal of 3362609376 is 6739062633.

3362609376 is a `hidden beast` number, since 3 + 3 + 6 + 2 + 609 + 37 + 6 = 666.

It is a super-2 number, since 2×3362609376² = 22614283631126218752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362609377) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4372320 + ... + 4373088.

It is an arithmetic number, because the mean of its divisors is an integer number (47348994).

Almost surely, 2^3362609376 is an apocalyptic number.

3362609376 is a gapful number since it is divisible by the number (36) 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 3362609376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681879280).

3362609376 is an abundant number, since it is smaller than the sum of its proper divisors (8001149184).

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

3362609376 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (3362609375) it forms an eRAP, since the sums of their prime factors are consecutive (1038 and 1039).

3362609376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The square root of 3362609376 is about 57988.0106228865. The cubic root of 3362609376 is about 1498.1621010046.

The spelling of 3362609376 in words is "three billion, three hundred sixty-two million, six hundred nine thousand, three hundred seventy-six".