3945888253476 has 225 divisors, whose sum is σ = 11192051571701. Its totient is φ = 1212260167872.

The previous prime is 3945888253471. The next prime is 3945888253493. The reversal of 3945888253476 is 6743528885493.

The square root of 3945888253476 is 1986426.

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

3945888253476 is a `hidden beast` number, since 3 + 9 + 4 + 5 + 8 + 8 + 82 + 534 + 7 + 6 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3649055062500 + 296833190976 = 1910250^2 + 544824^2 .

It is not an unprimeable number, because it can be changed into a prime (3945888253471) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 6042707566 + ... + 6042708218.

Almost surely, 2^{3945888253476} is an apocalyptic number.

3945888253476 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3945888253476 is the 1986426-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3945888253476

3945888253476 is an abundant number, since it is smaller than the sum of its proper divisors (7246163318225).

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

3945888253476 is an frugal number, since it uses more digits than its factorization.

3945888253476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 671 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 3945888253476 in words is "three trillion, nine hundred forty-five billion, eight hundred eighty-eight million, two hundred fifty-three thousand, four hundred seventy-six".