3451415072 has 96 divisors (see below), whose sum is σ = 8242964352. Its totient is φ = 1388703744.

The previous prime is 3451415063. The next prime is 3451415087. The reversal of 3451415072 is 2705141543.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1990718 + ... + 1992450.

It is an arithmetic number, because the mean of its divisors is an integer number (85864212).

Almost surely, 2^3451415072 is an apocalyptic number.

3451415072 is a gapful number since it is divisible by the number (32) 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 3451415072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121482176).

3451415072 is an abundant number, since it is smaller than the sum of its proper divisors (4791549280).

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

3451415072 is a wasteful number, since it uses less digits than its factorization.

3451415072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 3451415072 is about 58748.7452802185. The cubic root of 3451415072 is about 1511.2363705535.

The spelling of 3451415072 in words is "three billion, four hundred fifty-one million, four hundred fifteen thousand, seventy-two".