3400272691200 has 2250 divisors, whose sum is σ = 15835597750280. Its totient is φ = 706550169600.

The previous prime is 3400272691187. The next prime is 3400272691241. The reversal of 3400272691200 is 21962720043.

3400272691200 is a `hidden beast` number, since 3 + 400 + 2 + 72 + 69 + 120 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 309115699195 + ... + 309115699205.

Almost surely, 2^{3400272691200} is an apocalyptic number.

3400272691200 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 3400272691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7917798875140).

3400272691200 is an abundant number, since it is smaller than the sum of its proper divisors (12435325059080).

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

3400272691200 is an frugal number, since it uses more digits than its factorization.

3400272691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 28 counting only the distinct ones).

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

3400272691200 divided by its product of nonzero digits (36288) gives a square (93702400 = 9680²).

The spelling of 3400272691200 in words is "three trillion, four hundred billion, two hundred seventy-two million, six hundred ninety-one thousand, two hundred".