3404034000480 has 96 divisors (see below), whose sum is σ = 10724288972544. Its totient is φ = 907608485376.

The previous prime is 3404034000457. The next prime is 3404034000481. The reversal of 3404034000480 is 840004304043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404034000481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2755347 + ... + 3794733.

It is an arithmetic number, because the mean of its divisors is an integer number (111711343464).

Almost surely, 2^{3404034000480} is an apocalyptic number.

3404034000480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3404034000480 is an abundant number, since it is smaller than the sum of its proper divisors (7320254972064).

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

3404034000480 is a wasteful number, since it uses less digits than its factorization.

3404034000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046228 (or 1046220 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 3404034000480 in words is "three trillion, four hundred four billion, thirty-four million, four hundred eighty", and thus it is an aban number.