3434462240 has 96 divisors (see below), whose sum is σ = 8864541504. Its totient is φ = 1247063040.

The previous prime is 3434462231. The next prime is 3434462261. The reversal of 3434462240 is 422644343.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3434462197 and 3434462206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1965047 + ... + 1966793.

It is an arithmetic number, because the mean of its divisors is an integer number (92338974).

Almost surely, 2^3434462240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432270752).

3434462240 is an abundant number, since it is smaller than the sum of its proper divisors (5430079264).

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

3434462240 is a wasteful number, since it uses less digits than its factorization.

3434462240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

The square root of 3434462240 is about 58604.2851675541. The cubic root of 3434462240 is about 1508.7579863379.

The spelling of 3434462240 in words is "three billion, four hundred thirty-four million, four hundred sixty-two thousand, two hundred forty".