35385748321 has 45 divisors (see below), whose sum is σ = 45505278483. Its totient is φ = 27494303760.

The previous prime is 35385748273. The next prime is 35385748339. The reversal of 35385748321 is 12384758353.

The square root of 35385748321 is 188111.

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

35385748321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 25972867921 + 9412880400 = 161161^2 + 97020^2 .

It is not a de Polignac number, because 35385748321 - 2¹¹ = 35385746273 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 (35385748381) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 101391655 + ... + 101392003.

Almost surely, 2^35385748321 is an apocalyptic number.

35385748321 is the 188111-st square number.

35385748321 is the 94056-th centered octagonal number.

It is an amenable number.

35385748321 is a deficient number, since it is larger than the sum of its proper divisors (10119530162).

35385748321 is an frugal number, since it uses more digits than its factorization.

35385748321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 367 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 49.

Multiplying 35385748321 by its sum of digits (49), we get a square (1733901667729 = 1316777²).

35385748321 divided by its sum of digits (49) gives a square (722158129 = 26873²).

The spelling of 35385748321 in words is "thirty-five billion, three hundred eighty-five million, seven hundred forty-eight thousand, three hundred twenty-one".