3401323072 has 112 divisors (see below), whose sum is σ = 7998732288. Its totient is φ = 1404817920.

The previous prime is 3401323067. The next prime is 3401323073. The reversal of 3401323072 is 2703231043.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (3401323073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1409547 + ... + 1411957.

Almost surely, 2^3401323072 is an apocalyptic number.

3401323072 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 3401323072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999366144).

3401323072 is an abundant number, since it is smaller than the sum of its proper divisors (4597409216).

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

3401323072 is a wasteful number, since it uses less digits than its factorization.

3401323072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 3401323072 is about 58320.8630937506. The cubic root of 3401323072 is about 1503.8896195588.

The spelling of 3401323072 in words is "three billion, four hundred one million, three hundred twenty-three thousand, seventy-two".