3428792640 has 896 divisors, whose sum is σ = 15361920000. Its totient is φ = 715309056.

The previous prime is 3428792623. The next prime is 3428792651. The reversal of 3428792640 is 462978243.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38525716 + ... + 38525804.

It is an arithmetic number, because the mean of its divisors is an integer number (17145000).

Almost surely, 2^3428792640 is an apocalyptic number.

3428792640 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 3428792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680960000).

3428792640 is an abundant number, since it is smaller than the sum of its proper divisors (11933127360).

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

3428792640 is a wasteful number, since it uses less digits than its factorization.

3428792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3428792640 is about 58555.8932986254. The cubic root of 3428792640 is about 1507.9273113535.

The spelling of 3428792640 in words is "three billion, four hundred twenty-eight million, seven hundred ninety-two thousand, six hundred forty".