3403503813960 has 96 divisors (see below), whose sum is σ = 11067059278080. Its totient is φ = 907135632000.

The previous prime is 3403503813923. The next prime is 3403503813967. The reversal of 3403503813960 is 693183053043.

3403503813960 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 503 + 8 + 139 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3403503813967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1720546 + ... + 3125265.

It is an arithmetic number, because the mean of its divisors is an integer number (115281867480).

Almost surely, 2^{3403503813960} is an apocalyptic number.

3403503813960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3403503813960 is an abundant number, since it is smaller than the sum of its proper divisors (7663555464120).

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

3403503813960 is a wasteful number, since it uses less digits than its factorization.

3403503813960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847779 (or 4847772 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3403503813960 in words is "three trillion, four hundred three billion, five hundred three million, eight hundred thirteen thousand, nine hundred sixty".