3429893376 has 864 divisors, whose sum is σ = 13701340800. Its totient is φ = 836075520.

The previous prime is 3429893371. The next prime is 3429893419. The reversal of 3429893376 is 6733989243.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5878656) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429893371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83655916 + ... + 83655956.

Almost surely, 2^3429893376 is an apocalyptic number.

3429893376 is a gapful number since it is divisible by the number (36) 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 3429893376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850670400).

3429893376 is an abundant number, since it is smaller than the sum of its proper divisors (10271447424).

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

3429893376 is a wasteful number, since it uses less digits than its factorization.

3429893376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3429893376 is about 58565.2915642021. The cubic root of 3429893376 is about 1508.0886560274.

The spelling of 3429893376 in words is "three billion, four hundred twenty-nine million, eight hundred ninety-three thousand, three hundred seventy-six".