3429953280 has 432 divisors, whose sum is σ = 13146762720. Its totient is φ = 820150272.

The previous prime is 3429953273. The next prime is 3429953287. The reversal of 3429953280 is 823599243.

It is a happy number.

3429953280 is a `hidden beast` number, since 34 + 2 + 9 + 9 + 532 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3429953273) and next prime (3429953287).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429953287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5540811 + ... + 5541429.

Almost surely, 2^3429953280 is an apocalyptic number.

3429953280 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 3429953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573381360).

3429953280 is an abundant number, since it is smaller than the sum of its proper divisors (9716809440).

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

3429953280 is a wasteful number, since it uses less digits than its factorization.

3429953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3429953280 is about 58565.8029911654. The cubic root of 3429953280 is about 1508.0974356995.

The spelling of 3429953280 in words is "three billion, four hundred twenty-nine million, nine hundred fifty-three thousand, two hundred eighty".