3384724980 has 576 divisors, whose sum is σ = 12870144000. Its totient is φ = 656667648.

The previous prime is 3384724969. The next prime is 3384725017. The reversal of 3384724980 is 894274833.

It is a super-2 number, since 2×3384724980² = 22912726380472000800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42844581 + ... + 42844659.

It is an arithmetic number, because the mean of its divisors is an integer number (22344000).

Almost surely, 2^3384724980 is an apocalyptic number.

3384724980 is a gapful number since it is divisible by the number (30) 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 3384724980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435072000).

3384724980 is an abundant number, since it is smaller than the sum of its proper divisors (9485419020).

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

3384724980 is a wasteful number, since it uses less digits than its factorization.

3384724980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 3384724980 is about 58178.3892867446. The cubic root of 3384724980 is about 1501.4393561719.

The spelling of 3384724980 in words is "three billion, three hundred eighty-four million, seven hundred twenty-four thousand, nine hundred eighty".