3478536720 has 120 divisors (see below), whose sum is σ = 12296980800. Its totient is φ = 878784768.

The previous prime is 3478536709. The next prime is 3478536749. The reversal of 3478536720 is 276358743.

3478536720 is a `hidden beast` number, since 3 + 47 + 8 + 536 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113460 + ... + 140819.

It is an arithmetic number, because the mean of its divisors is an integer number (102474840).

Almost surely, 2^3478536720 is an apocalyptic number.

3478536720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3478536720 is an abundant number, since it is smaller than the sum of its proper divisors (8818444080).

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

3478536720 is a wasteful number, since it uses less digits than its factorization.

3478536720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254317 (or 254308 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3478536720 is about 58979.1210514365. The cubic root of 3478536720 is about 1515.1845411251.

The spelling of 3478536720 in words is "three billion, four hundred seventy-eight million, five hundred thirty-six thousand, seven hundred twenty".