3451379792 has 160 divisors (see below), whose sum is σ = 8395653120. Its totient is φ = 1341204480.

The previous prime is 3451379753. The next prime is 3451379803. The reversal of 3451379792 is 2979731543.

3451379792 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-4 number, since 4×3451379792⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a self number, because there is not a number n which added to its sum of digits gives 3451379792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7454153 + ... + 7454615.

It is an arithmetic number, because the mean of its divisors is an integer number (52472832).

Almost surely, 2^3451379792 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 3451379792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197826560).

3451379792 is an abundant number, since it is smaller than the sum of its proper divisors (4944273328).

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

3451379792 is a wasteful number, since it uses less digits than its factorization.

3451379792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 635 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 50.

The square root of 3451379792 is about 58748.4450177194. The cubic root of 3451379792 is about 1511.2312213031.

The spelling of 3451379792 in words is "three billion, four hundred fifty-one million, three hundred seventy-nine thousand, seven hundred ninety-two".