3478379520 has 704 divisors, whose sum is σ = 14771414016. Its totient is φ = 676331520.

The previous prime is 3478379477. The next prime is 3478379549. The reversal of 3478379520 is 259738743.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3478379520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20106154 + ... + 20106326.

Almost surely, 2^3478379520 is an apocalyptic number.

3478379520 is a gapful number since it is divisible by the number (30) 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 3478379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7385707008).

3478379520 is an abundant number, since it is smaller than the sum of its proper divisors (11293034496).

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

3478379520 is a wasteful number, since it uses less digits than its factorization.

3478379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 3478379520 is about 58977.7883613823. The cubic root of 3478379520 is about 1515.1617163363.

The spelling of 3478379520 in words is "three billion, four hundred seventy-eight million, three hundred seventy-nine thousand, five hundred twenty".