3451279104 has 720 divisors, whose sum is σ = 13296138240. Its totient is φ = 865935360.

The previous prime is 3451279093. The next prime is 3451279121. The reversal of 3451279104 is 4019721543.

3451279104 is a `hidden beast` number, since 34 + 512 + 7 + 9 + 104 = 666.

It is a super-2 number, since 2×3451279104² = 23822654907414085632, 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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58496227 + ... + 58496285.

Almost surely, 2^3451279104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3451279104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648069120).

3451279104 is an abundant number, since it is smaller than the sum of its proper divisors (9844859136).

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

3451279104 is a wasteful number, since it uses less digits than its factorization.

3451279104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3451279104 is about 58747.5880696391. The cubic root of 3451279104 is about 1511.2165253131.

The spelling of 3451279104 in words is "three billion, four hundred fifty-one million, two hundred seventy-nine thousand, one hundred four".