3454829280 has 576 divisors, whose sum is σ = 14823648000. Its totient is φ = 747242496.

The previous prime is 3454829269. The next prime is 3454829291. The reversal of 3454829280 is 829284543.

3454829280 is a `hidden beast` number, since 3 + 4 + 5 + 482 + 92 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3454829269) and next prime (3454829291).

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 95 ways as a sum of consecutive naturals, for example, 4021491 + ... + 4022349.

It is an arithmetic number, because the mean of its divisors is an integer number (25735500).

Almost surely, 2^3454829280 is an apocalyptic number.

3454829280 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 3454829280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7411824000).

3454829280 is an abundant number, since it is smaller than the sum of its proper divisors (11368818720).

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

3454829280 is a wasteful number, since it uses less digits than its factorization.

3454829280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3454829280 is about 58777.7958076007. The cubic root of 3454829280 is about 1511.7345212909.

The spelling of 3454829280 in words is "three billion, four hundred fifty-four million, eight hundred twenty-nine thousand, two hundred eighty".