3370124924100 has 243 divisors, whose sum is σ = 11613173713869. Its totient is φ = 816853118400.

The previous prime is 3370124924041. The next prime is 3370124924141. The reversal of 3370124924100 is 14294210733.

It is a happy number.

The square root of 3370124924100 is 1835790.

It is a perfect power (a square), and thus also a powerful number.

3370124924100 is a `hidden beast` number, since 3 + 37 + 0 + 124 + 92 + 410 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1213244972676 + 2156879951424 = 1101474^2 + 1468632^2 .

It is a super-2 number, since 2×3370124924100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 80 ways as a sum of consecutive naturals, for example, 605807919 + ... + 605813481.

Almost surely, 2^{3370124924100} is an apocalyptic number.

3370124924100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3370124924100 is the 1835790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3370124924100

3370124924100 is an abundant number, since it is smaller than the sum of its proper divisors (8243048789769).

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

3370124924100 is a wasteful number, since it uses less digits than its factorization.

3370124924100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11168 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 3370124924100 by its sum of digits (36), we get a square (121324497267600 = 11014740²).

3370124924100 divided by its sum of digits (36) gives a square (93614581225 = 305965²).

The spelling of 3370124924100 in words is "three trillion, three hundred seventy billion, one hundred twenty-four million, nine hundred twenty-four thousand, one hundred".