3477204840320 has 128 divisors (see below), whose sum is σ = 8359261879680. Its totient is φ = 1383111475200.

The previous prime is 3477204840299. The next prime is 3477204840337. The reversal of 3477204840320 is 230484027743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84314105 + ... + 84355335.

It is an arithmetic number, because the mean of its divisors is an integer number (65306733435).

Almost surely, 2^{3477204840320} 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 3477204840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179630939840).

3477204840320 is an abundant number, since it is smaller than the sum of its proper divisors (4882057039360).

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

3477204840320 is a wasteful number, since it uses less digits than its factorization.

3477204840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41984 (or 41972 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 44.

The spelling of 3477204840320 in words is "three trillion, four hundred seventy-seven billion, two hundred four million, eight hundred forty thousand, three hundred twenty".