3479310072 has 192 divisors, whose sum is σ = 11361924000. Its totient is φ = 983549952.

The previous prime is 3479310047. The next prime is 3479310097. The reversal of 3479310072 is 2700139743.

It is an interprime number because it is at equal distance from previous prime (3479310047) and next prime (3479310097).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1024954 + ... + 1028342.

Almost surely, 2^3479310072 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 3479310072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5680962000).

3479310072 is an abundant number, since it is smaller than the sum of its proper divisors (7882613928).

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

3479310072 is a wasteful number, since it uses less digits than its factorization.

3479310072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3479310072 is about 58985.6768376866. The cubic root of 3479310072 is about 1515.2968186203.

The spelling of 3479310072 in words is "three billion, four hundred seventy-nine million, three hundred ten thousand, seventy-two".