3525603503664 has 160 divisors (see below), whose sum is σ = 10530193881600. Its totient is φ = 1004569292800.

The previous prime is 3525603503651. The next prime is 3525603503743. The reversal of 3525603503664 is 4663053065253.

It is a happy number.

It is a super-2 number, since 2×3525603503664² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 9338437 + ... + 9708635.

It is an arithmetic number, because the mean of its divisors is an integer number (65813711760).

Almost surely, 2^{3525603503664} is an apocalyptic number.

3525603503664 is a gapful number since it is divisible by the number (34) 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 3525603503664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265096940800).

3525603503664 is an abundant number, since it is smaller than the sum of its proper divisors (7004590377936).

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

3525603503664 is a wasteful number, since it uses less digits than its factorization.

3525603503664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371299 (or 371293 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 48.

The spelling of 3525603503664 in words is "three trillion, five hundred twenty-five billion, six hundred three million, five hundred three thousand, six hundred sixty-four".