3434406912 has 176 divisors, whose sum is σ = 10770822720. Its totient is φ = 1077313536.

The previous prime is 3434406869. The next prime is 3434406923. The reversal of 3434406912 is 2196044343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 466363 + ... + 473669.

Almost surely, 2^3434406912 is an apocalyptic number.

3434406912 is a gapful number since it is divisible by the number (32) 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 3434406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385411360).

3434406912 is an abundant number, since it is smaller than the sum of its proper divisors (7336415808).

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

3434406912 is a wasteful number, since it uses less digits than its factorization.

3434406912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7353 (or 7329 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3434406912 is about 58603.8131182605. The cubic root of 3434406912 is about 1508.7498844378.

The spelling of 3434406912 in words is "three billion, four hundred thirty-four million, four hundred six thousand, nine hundred twelve".