3407949236736 has 240 divisors, whose sum is σ = 11019713541408. Its totient is φ = 1004800204800.

The previous prime is 3407949236729. The next prime is 3407949236761. The reversal of 3407949236736 is 6376329497043.

3407949236736 is a `hidden beast` number, since 3 + 4 + 0 + 79 + 492 + 3 + 6 + 73 + 6 = 666.

It is a super-2 number, since 2×3407949236736² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 966891 + ... + 2784021.

Almost surely, 2^{3407949236736} is an apocalyptic number.

3407949236736 is a gapful number since it is divisible by the number (36) 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 3407949236736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509856770704).

3407949236736 is an abundant number, since it is smaller than the sum of its proper divisors (7611764304672).

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

3407949236736 is a wasteful number, since it uses less digits than its factorization.

3407949236736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817203 (or 1817184 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 63.

The spelling of 3407949236736 in words is "three trillion, four hundred seven billion, nine hundred forty-nine million, two hundred thirty-six thousand, seven hundred thirty-six".