3456098100 has 432 divisors, whose sum is σ = 14040906880. Its totient is φ = 690508800.

The previous prime is 3456098089. The next prime is 3456098101. The reversal of 3456098100 is 18906543.

3456098100 is a `hidden beast` number, since 3 + 4 + 560 + 98 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×3456098100² = 23889228153647220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456098101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1554990 + ... + 1557210.

Almost surely, 2^3456098100 is an apocalyptic number.

3456098100 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 3456098100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020453440).

3456098100 is an abundant number, since it is smaller than the sum of its proper divisors (10584808780).

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

3456098100 is a wasteful number, since it uses less digits than its factorization.

3456098100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3456098100 is about 58788.5881783191. The cubic root of 3456098100 is about 1511.9195650921.

The spelling of 3456098100 in words is "three billion, four hundred fifty-six million, ninety-eight thousand, one hundred".