3380154624 has 720 divisors, whose sum is σ = 13177422720. Its totient is φ = 836075520.

The previous prime is 3380154619. The next prime is 3380154641. The reversal of 3380154624 is 4264510833.

3380154624 is a `hidden beast` number, since 33 + 80 + 1 + 546 + 2 + 4 = 666.

It is a super-2 number, since 2×3380154624² = 22850890564297162752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46303452 + ... + 46303524.

It is an arithmetic number, because the mean of its divisors is an integer number (18301976).

Almost surely, 2^3380154624 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 3380154624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588711360).

3380154624 is an abundant number, since it is smaller than the sum of its proper divisors (9797268096).

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

3380154624 is a wasteful number, since it uses less digits than its factorization.

3380154624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3380154624 is about 58139.0972066130. The cubic root of 3380154624 is about 1500.7632595574.

The spelling of 3380154624 in words is "three billion, three hundred eighty million, one hundred fifty-four thousand, six hundred twenty-four".