3484926992736 has 216 divisors, whose sum is σ = 11953495152144. Its totient is φ = 943288312320.

The previous prime is 3484926992719. The next prime is 3484926992749. The reversal of 3484926992736 is 6372996294843.

3484926992736 is a `hidden beast` number, since 3 + 4 + 8 + 492 + 69 + 9 + 2 + 73 + 6 = 666.

3484926992736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3484926992736² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1666455 + ... + 3122006.

It is an arithmetic number, because the mean of its divisors is an integer number (55340255334).

Almost surely, 2^{3484926992736} is an apocalyptic number.

3484926992736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3484926992736 is an abundant number, since it is smaller than the sum of its proper divisors (8468568159408).

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

3484926992736 is a wasteful number, since it uses less digits than its factorization.

3484926992736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788522 (or 4788492 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 3484926992736 in words is "three trillion, four hundred eighty-four billion, nine hundred twenty-six million, nine hundred ninety-two thousand, seven hundred thirty-six".