3920450625 has 400 divisors, whose sum is σ = 9652710144. Its totient is φ = 1539648000.

The previous prime is 3920450617. The next prime is 3920450629. The reversal of 3920450625 is 5260540293.

3920450625 is a `hidden beast` number, since 3 + 9 + 20 + 4 + 5 + 0 + 625 = 666.

It is not a de Polignac number, because 3920450625 - 2³ = 3920450617 is a prime.

It is a super-3 number, since 3×3920450625³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3920450625.

It is not an unprimeable number, because it can be changed into a prime (3920450629) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 105958107 + ... + 105958143.

Almost surely, 2^3920450625 is an apocalyptic number.

3920450625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3920450625 is an abundant number, since it is smaller than the sum of its proper divisors (5732259519).

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

3920450625 is a wasteful number, since it uses less digits than its factorization.

3920450625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3920450625 is about 62613.5019384797. The cubic root of 3920450625 is about 1576.8074488121.

It can be divided in two parts, 39204 and 50625, that multiplied together give a square (1984702500 = 44550²).

The spelling of 3920450625 in words is "three billion, nine hundred twenty million, four hundred fifty thousand, six hundred twenty-five".