3429907741890 has 128 divisors (see below), whose sum is σ = 10479121943040. Its totient is φ = 782023680000.

The previous prime is 3429907741859. The next prime is 3429907741901. The reversal of 3429907741890 is 981477099243.

3429907741890 is a `hidden beast` number, since 3 + 42 + 9 + 90 + 7 + 7 + 418 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1504911 + ... + 3020690.

It is an arithmetic number, because the mean of its divisors is an integer number (81868140180).

Almost surely, 2^{3429907741890} is an apocalyptic number.

3429907741890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3429907741890 is an abundant number, since it is smaller than the sum of its proper divisors (7049214201150).

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

3429907741890 is a wasteful number, since it uses less digits than its factorization.

3429907741890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526025 (or 4526019 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 3429907741890 in words is "three trillion, four hundred twenty-nine billion, nine hundred seven million, seven hundred forty-one thousand, eight hundred ninety".