3381186864 has 160 divisors (see below), whose sum is σ = 9887367168. Its totient is φ = 986400000.

The previous prime is 3381186863. The next prime is 3381186869. The reversal of 3381186864 is 4686811833.

It is a super-2 number, since 2×3381186864² = 22864849218572308992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3381186863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4107957 + ... + 4108779.

Almost surely, 2^3381186864 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 3381186864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4943683584).

3381186864 is an abundant number, since it is smaller than the sum of its proper divisors (6506180304).

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

3381186864 is a wasteful number, since it uses less digits than its factorization.

3381186864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1121 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 3381186864 is about 58147.9738598001. The cubic root of 3381186864 is about 1500.9160129441.

The spelling of 3381186864 in words is "three billion, three hundred eighty-one million, one hundred eighty-six thousand, eight hundred sixty-four".