3403115467920 has 480 divisors, whose sum is σ = 13758009907200. Its totient is φ = 752761175040.

The previous prime is 3403115467907. The next prime is 3403115467933. The reversal of 3403115467920 is 297645113043.

3403115467920 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 11 + 546 + 7 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3403115467907) and next prime (3403115467933).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7433502 + ... + 7878018.

It is an arithmetic number, because the mean of its divisors is an integer number (28662520640).

Almost surely, 2^{3403115467920} is an apocalyptic number.

3403115467920 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 3403115467920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879004953600).

3403115467920 is an abundant number, since it is smaller than the sum of its proper divisors (10354894439280).

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

3403115467920 is a wasteful number, since it uses less digits than its factorization.

3403115467920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444588 (or 444565 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3403115467920 in words is "three trillion, four hundred three billion, one hundred fifteen million, four hundred sixty-seven thousand, nine hundred twenty".