3429964440 has 192 divisors, whose sum is σ = 13211976960. Its totient is φ = 783976320.

The previous prime is 3429964427. The next prime is 3429964451. The reversal of 3429964440 is 444699243.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42835 + ... + 93245.

It is an arithmetic number, because the mean of its divisors is an integer number (68812380).

Almost surely, 2^3429964440 is an apocalyptic number.

3429964440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429964440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605988480).

3429964440 is an abundant number, since it is smaller than the sum of its proper divisors (9782012520).

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

3429964440 is a wasteful number, since it uses less digits than its factorization.

3429964440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50444 (or 50428 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3429964440 is about 58565.8982685317. The cubic root of 3429964440 is about 1508.0990713242.

The spelling of 3429964440 in words is "three billion, four hundred twenty-nine million, nine hundred sixty-four thousand, four hundred forty".