3401054064 has 120 divisors (see below), whose sum is σ = 9651882240. Its totient is φ = 1117874304.

The previous prime is 3401054053. The next prime is 3401054071. The reversal of 3401054064 is 4604501043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4729897 + ... + 4730615.

It is an arithmetic number, because the mean of its divisors is an integer number (80432352).

Almost surely, 2^3401054064 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 3401054064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825941120).

3401054064 is an abundant number, since it is smaller than the sum of its proper divisors (6250828176).

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

3401054064 is a wasteful number, since it uses less digits than its factorization.

3401054064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3401054064 is about 58318.5567722659. The cubic root of 3401054064 is about 1503.8499713596.

The spelling of 3401054064 in words is "three billion, four hundred one million, fifty-four thousand, sixty-four".