3429056400 has 960 divisors, whose sum is σ = 15144744960. Its totient is φ = 641433600.

The previous prime is 3429056339. The next prime is 3429056401. The reversal of 3429056400 is 46509243.

3429056400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3429056401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58119571 + ... + 58119629.

It is an arithmetic number, because the mean of its divisors is an integer number (15775776).

Almost surely, 2^3429056400 is an apocalyptic number.

3429056400 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 3429056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7572372480).

3429056400 is an abundant number, since it is smaller than the sum of its proper divisors (11715688560).

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

3429056400 is a wasteful number, since it uses less digits than its factorization.

3429056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3429056400 is about 58558.1454624376. The cubic root of 3429056400 is about 1507.9659761500.

The spelling of 3429056400 in words is "three billion, four hundred twenty-nine million, fifty-six thousand, four hundred".