3900352454761 has 27 divisors (see below), whose sum is σ = 4556930374269. Its totient is φ = 3328643504088.

The previous prime is 3900352454759. The next prime is 3900352454767. The reversal of 3900352454761 is 1674542530093.

The square root of 3900352454761 is 1974931.

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

3900352454761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3900352454761 - 2¹ = 3900352454759 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (3900352454767) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4244126260 + ... + 4244127178.

It is an arithmetic number, because the mean of its divisors is an integer number (168775199047).

Almost surely, 2^{3900352454761} is an apocalyptic number.

3900352454761 is the 1974931-st square number.

3900352454761 is the 987466-th centered octagonal number.

It is an amenable number.

3900352454761 is a deficient number, since it is larger than the sum of its proper divisors (656577919508).

3900352454761 is an frugal number, since it uses more digits than its factorization.

3900352454761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

Multiplying 3900352454761 by its sum of digits (49), we get a square (191117270283289 = 13824517²).

3900352454761 divided by its sum of digits (49) gives a square (79599029689 = 282133²).

The spelling of 3900352454761 in words is "three trillion, nine hundred billion, three hundred fifty-two million, four hundred fifty-four thousand, seven hundred sixty-one".