3499791120 has 240 divisors, whose sum is σ = 13466673792. Its totient is φ = 797921280.

The previous prime is 3499791107. The next prime is 3499791131. The reversal of 3499791120 is 211979943.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2988135 + ... + 2989305.

Almost surely, 2^3499791120 is an apocalyptic number.

3499791120 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 3499791120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733336896).

3499791120 is an abundant number, since it is smaller than the sum of its proper divisors (9966882672).

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

3499791120 is a wasteful number, since it uses less digits than its factorization.

3499791120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 3499791120 is about 59159.0324464490. The cubic root of 3499791120 is about 1518.2642813986.

The spelling of 3499791120 in words is "three billion, four hundred ninety-nine million, seven hundred ninety-one thousand, one hundred twenty".