3467249280 has 1024 divisors, whose sum is σ = 15069888000. Its totient is φ = 743178240.

The previous prime is 3467249239. The next prime is 3467249339. The reversal of 3467249280 is 829427643.

3467249280 is a `hidden beast` number, since 3 + 467 + 24 + 92 + 80 = 666.

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 127 ways as a sum of consecutive naturals, for example, 93709422 + ... + 93709458.

Almost surely, 2^3467249280 is an apocalyptic number.

3467249280 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 3467249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534944000).

3467249280 is an abundant number, since it is smaller than the sum of its proper divisors (11602638720).

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

3467249280 is a wasteful number, since it uses less digits than its factorization.

3467249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3467249280 is about 58883.3531653896. The cubic root of 3467249280 is about 1513.5439004397.

The spelling of 3467249280 in words is "three billion, four hundred sixty-seven million, two hundred forty-nine thousand, two hundred eighty".