3434359040 has 216 divisors, whose sum is σ = 10135496952. Its totient is φ = 1107886080.

The previous prime is 3434359007. The next prime is 3434359051. The reversal of 3434359040 is 409534343.

It can be written as a sum of positive squares in 4 ways, for example, as 1136498944 + 2297860096 = 33712^2 + 47936^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1064630 + ... + 1067850.

It is an arithmetic number, because the mean of its divisors is an integer number (46923597).

Almost surely, 2^3434359040 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 3434359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067748476).

3434359040 is an abundant number, since it is smaller than the sum of its proper divisors (6701137912).

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

3434359040 is a wasteful number, since it uses less digits than its factorization.

3434359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

The square root of 3434359040 is about 58603.4046792505. The cubic root of 3434359040 is about 1508.7428742793.

The spelling of 3434359040 in words is "three billion, four hundred thirty-four million, three hundred fifty-nine thousand, forty".