3509997840 has 160 divisors (see below), whose sum is σ = 12117081600. Its totient is φ = 933903360.

The previous prime is 3509997839. The next prime is 3509997853. The reversal of 3509997840 is 487999053.

3509997840 is a `hidden beast` number, since 3 + 509 + 9 + 97 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1123801 + ... + 1126919.

It is an arithmetic number, because the mean of its divisors is an integer number (75731760).

Almost surely, 2^3509997840 is an apocalyptic number.

3509997840 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 3509997840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058540800).

3509997840 is an abundant number, since it is smaller than the sum of its proper divisors (8607083760).

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

3509997840 is a wasteful number, since it uses less digits than its factorization.

3509997840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 3509997840 is about 59245.2347450831. The cubic root of 3509997840 is about 1519.7387939888.

The spelling of 3509997840 in words is "three billion, five hundred nine million, nine hundred ninety-seven thousand, eight hundred forty".