3363628464 has 320 divisors, whose sum is σ = 11622113280. Its totient is φ = 911139840.

The previous prime is 3363628453. The next prime is 3363628487. The reversal of 3363628464 is 4648263633.

3363628464 is a `hidden beast` number, since 3 + 3 + 636 + 2 + 8 + 4 + 6 + 4 = 666.

3363628464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3363628464² = 22627992887661998592, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4968094 + ... + 4968770.

It is an arithmetic number, because the mean of its divisors is an integer number (36319104).

Almost surely, 2^3363628464 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 3363628464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5811056640).

3363628464 is an abundant number, since it is smaller than the sum of its proper divisors (8258484816).

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

3363628464 is a wasteful number, since it uses less digits than its factorization.

3363628464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 773 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The square root of 3363628464 is about 57996.7970150076. The cubic root of 3363628464 is about 1498.3134323705.

The spelling of 3363628464 in words is "three billion, three hundred sixty-three million, six hundred twenty-eight thousand, four hundred sixty-four".