3515484000 has 192 divisors, whose sum is σ = 13162286592. Its totient is φ = 803520000.

The previous prime is 3515483971. The next prime is 3515484019. The reversal of 3515484000 is 4845153.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 63075 + ... + 104925.

It is an arithmetic number, because the mean of its divisors is an integer number (68553576).

Almost surely, 2^3515484000 is an apocalyptic number.

3515484000 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 3515484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581143296).

3515484000 is an abundant number, since it is smaller than the sum of its proper divisors (9646802592).

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

3515484000 is a wasteful number, since it uses less digits than its factorization.

3515484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41886 (or 41868 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 3515484000 is about 59291.5170998348. The cubic root of 3515484000 is about 1520.5301705509.

The spelling of 3515484000 in words is "three billion, five hundred fifteen million, four hundred eighty-four thousand".