3429978240 has 256 divisors, whose sum is σ = 11875248000. Its totient is φ = 837058560.

The previous prime is 3429978203. The next prime is 3429978241. The reversal of 3429978240 is 428799243.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3429978240.

It is not an unprimeable number, because it can be changed into a prime (3429978241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3269236 + ... + 3270284.

Almost surely, 2^3429978240 is an apocalyptic number.

3429978240 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 3429978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937624000).

3429978240 is an abundant number, since it is smaller than the sum of its proper divisors (8445269760).

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

3429978240 is a wasteful number, since it uses less digits than its factorization.

3429978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3429978240 is about 58566.0160844154. The cubic root of 3429978240 is about 1508.1010938660.

The spelling of 3429978240 in words is "three billion, four hundred twenty-nine million, nine hundred seventy-eight thousand, two hundred forty".