3434049360 has 720 divisors, whose sum is σ = 14554425600. Its totient is φ = 721115136.

The previous prime is 3434049347. The next prime is 3434049371. The reversal of 3434049360 is 639404343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31504986 + ... + 31505094.

It is an arithmetic number, because the mean of its divisors is an integer number (20214480).

Almost surely, 2^3434049360 is an apocalyptic number.

3434049360 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 3434049360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277212800).

3434049360 is an abundant number, since it is smaller than the sum of its proper divisors (11120376240).

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

3434049360 is a wasteful number, since it uses less digits than its factorization.

3434049360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3434049360 is about 58600.7624523777. The cubic root of 3434049360 is about 1508.6975245715.

The spelling of 3434049360 in words is "three billion, four hundred thirty-four million, forty-nine thousand, three hundred sixty".