3625692828480 has 84 divisors (see below), whose sum is σ = 12470872634532. Its totient is φ = 966851420160.

The previous prime is 3625692828463. The next prime is 3625692828481. The reversal of 3625692828480 is 848282965263.

3625692828480 is a `hidden beast` number, since 3 + 6 + 2 + 569 + 2 + 8 + 28 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2755785923136 + 869906905344 = 1660056^2 + 932688^2 .

It is a super-3 number, since 3×3625692828480³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3625692828481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 629457681 + ... + 629463440.

Almost surely, 2^{3625692828480} is an apocalyptic number.

3625692828480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3625692828480 is an abundant number, since it is smaller than the sum of its proper divisors (8845179806052).

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

3625692828480 is a wasteful number, since it uses less digits than its factorization.

3625692828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258921144 (or 1258921131 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 3625692828480 in words is "three trillion, six hundred twenty-five billion, six hundred ninety-two million, eight hundred twenty-eight thousand, four hundred eighty".