3429348422500 has 1215 divisors, whose sum is σ = 10671384241287. Its totient is φ = 959999040000.

The previous prime is 3429348422431. The next prime is 3429348422519. The reversal of 3429348422500 is 52248439243.

3429348422500 = 1³ + 2³ + ... + 1924³.

The square root of 3429348422500 is 1851850.

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

It can be written as a sum of positive squares in 22 ways, for example, as 3267049020004 + 162299402496 = 1807498^2 + 402864^2 .

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, 92685092482 + ... + 92685092518.

Almost surely, 2^{3429348422500} is an apocalyptic number.

3429348422500 is the 1851850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429348422500

3429348422500 is an abundant number, since it is smaller than the sum of its proper divisors (7242035818787).

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

3429348422500 is a wasteful number, since it uses less digits than its factorization.

3429348422500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 3429348422500 in words is "three trillion, four hundred twenty-nine billion, three hundred forty-eight million, four hundred twenty-two thousand, five hundred".