3773030625 has 315 divisors, whose sum is σ = 8904245823. Its totient is φ = 1592136000.

The previous prime is 3773030603. The next prime is 3773030629. The reversal of 3773030625 is 5260303773.

3773030625 = 1³ + 2³ + ... + 350³.

It is a happy number.

The square root of 3773030625 is 61425.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3726736209 + 46294416 = 61047^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is not a de Polignac number, because 3773030625 - 2⁵ = 3773030593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3773030625.

It is not an unprimeable number, because it can be changed into a prime (3773030629) by changing a digit.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 290233119 + ... + 290233131.

Almost surely, 2^3773030625 is an apocalyptic number.

3773030625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3773030625 is the 61425-th square number.

3773030625 is the 30713-rd centered octagonal number.

It is an amenable number.

3773030625 is an abundant number, since it is smaller than the sum of its proper divisors (5131215198).

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

3773030625 is an frugal number, since it uses more digits than its factorization.

3773030625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 36.

The cubic root of 3773030625 is about 1556.7902754706.

Multiplying 3773030625 by its sum of digits (36), we get a square (135829102500 = 368550²).

The spelling of 3773030625 in words is "three billion, seven hundred seventy-three million, thirty thousand, six hundred twenty-five".