3515878080000 has 1200 divisors, whose sum is σ = 14898256669296. Its totient is φ = 786677760000.

The previous prime is 3515878079993. The next prime is 3515878080037. The reversal of 3515878080000 is 808785153.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×3515878080000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 411835732 + ... + 411844268.

Almost surely, 2^{3515878080000} is an apocalyptic number.

3515878080000 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 3515878080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7449128334648).

3515878080000 is an abundant number, since it is smaller than the sum of its proper divisors (11382378589296).

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

3515878080000 is a wasteful number, since it uses less digits than its factorization.

3515878080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8605 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 3515878080000 in words is "three trillion, five hundred fifteen billion, eight hundred seventy-eight million, eighty thousand".