3902778047025 has 405 divisors, whose sum is σ = 8632637009073. Its totient is φ = 1741008297600.

The previous prime is 3902778047011. The next prime is 3902778047033. The reversal of 3902778047025 is 5207408772093.

The square root of 3902778047025 is 1975545.

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

3902778047025 is a `hidden beast` number, since 3 + 9 + 0 + 2 + 77 + 80 + 470 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1005946814961 + 2896831232064 = 1002969^2 + 1702008^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 3902778047025 - 2¹³ = 3902778038833 is a prime.

It is a super-2 number, since 2×3902778047025² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 12712631922 + ... + 12712632228.

Almost surely, 2^{3902778047025} is an apocalyptic number.

3902778047025 is the 1975545-th square number.

3902778047025 is the 987773-rd centered octagonal number.

It is an amenable number.

3902778047025 is an abundant number, since it is smaller than the sum of its proper divisors (4729858962048).

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

3902778047025 is a wasteful number, since it uses less digits than its factorization.

3902778047025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 3902778047025 in words is "three trillion, nine hundred two billion, seven hundred seventy-eight million, forty-seven thousand, twenty-five".