3456354792 has 128 divisors (see below), whose sum is σ = 9979200000. Its totient is φ = 987651840.

The previous prime is 3456354787. The next prime is 3456354841. The reversal of 3456354792 is 2974536543.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 323959 + ... + 334457.

It is an arithmetic number, because the mean of its divisors is an integer number (77962500).

Almost surely, 2^3456354792 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 3456354792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989600000).

3456354792 is an abundant number, since it is smaller than the sum of its proper divisors (6522845208).

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

3456354792 is a wasteful number, since it uses less digits than its factorization.

3456354792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591 (or 10587 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 48.

The square root of 3456354792 is about 58790.7713165936. The cubic root of 3456354792 is about 1511.9569953615.

The spelling of 3456354792 in words is "three billion, four hundred fifty-six million, three hundred fifty-four thousand, seven hundred ninety-two".