34903206976 has 105 divisors (see below), whose sum is σ = 76583478405. Its totient is φ = 15782891520.

The previous prime is 34903206907. The next prime is 34903206977. The reversal of 34903206976 is 67960230943.

The square root of 34903206976 is 186824.

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

It can be written as a sum of positive squares in only one way, i.e., 8456641600 + 26446565376 = 91960^2 + 162624^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34903206977) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 180845536 + ... + 180845728.

It is an arithmetic number, because the mean of its divisors is an integer number (729366461).

Almost surely, 2^34903206976 is an apocalyptic number.

34903206976 is the 186824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34903206976

34903206976 is an abundant number, since it is smaller than the sum of its proper divisors (41680271429).

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

34903206976 is an frugal number, since it uses more digits than its factorization.

34903206976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 49.

Multiplying 34903206976 by its sum of digits (49), we get a square (1710257141824 = 1307768²).

The spelling of 34903206976 in words is "thirty-four billion, nine hundred three million, two hundred six thousand, nine hundred seventy-six".