3403954746720 has 1152 divisors, whose sum is σ = 13590982379520. Its totient is φ = 766698455040.

The previous prime is 3403954746701. The next prime is 3403954746721. The reversal of 3403954746720 is 276474593043.

It is a happy number.

3403954746720 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 95 + 474 + 67 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3403954746721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14242488361 + ... + 14242488599.

It is an arithmetic number, because the mean of its divisors is an integer number (11797727760).

Almost surely, 2^{3403954746720} is an apocalyptic number.

3403954746720 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 3403954746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795491189760).

3403954746720 is an abundant number, since it is smaller than the sum of its proper divisors (10187027632800).

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

3403954746720 is a wasteful number, since it uses less digits than its factorization.

3403954746720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 3403954746720 in words is "three trillion, four hundred three billion, nine hundred fifty-four million, seven hundred forty-six thousand, seven hundred twenty".