3515998080 has 256 divisors, whose sum is σ = 12912514560. Its totient is φ = 797122560.

The previous prime is 3515998049. The next prime is 3515998081. The reversal of 3515998080 is 808995153.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3515998081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1759642 + ... + 1761638.

It is an arithmetic number, because the mean of its divisors is an integer number (50439510).

Almost surely, 2^3515998080 is an apocalyptic number.

3515998080 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 3515998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6456257280).

3515998080 is an abundant number, since it is smaller than the sum of its proper divisors (9396516480).

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

3515998080 is a wasteful number, since it uses less digits than its factorization.

3515998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The square root of 3515998080 is about 59295.8521314940. The cubic root of 3515998080 is about 1520.6042842008.

The spelling of 3515998080 in words is "three billion, five hundred fifteen million, nine hundred ninety-eight thousand, eighty".