3457035242100 has 288 divisors, whose sum is σ = 12186906238080. Its totient is φ = 833725440000.

The previous prime is 3457035242021. The next prime is 3457035242153. The reversal of 3457035242100 is 12425307543.

3457035242100 is a `hidden beast` number, since 3 + 4 + 570 + 35 + 2 + 42 + 10 + 0 = 666.

It is a super-2 number, since 2×3457035242100² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 5430550 + ... + 6033650.

It is an arithmetic number, because the mean of its divisors is an integer number (42315646660).

Almost surely, 2^{3457035242100} is an apocalyptic number.

3457035242100 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 3457035242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093453119040).

3457035242100 is an abundant number, since it is smaller than the sum of its proper divisors (8729870995980).

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

3457035242100 is a wasteful number, since it uses less digits than its factorization.

3457035242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603328 (or 603315 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 3457035242100 in words is "three trillion, four hundred fifty-seven billion, thirty-five million, two hundred forty-two thousand, one hundred".