3428864640 has 576 divisors, whose sum is σ = 13367750760. Its totient is φ = 806879232.

The previous prime is 3428864639. The next prime is 3428864683. The reversal of 3428864640 is 464688243.

It can be written as a sum of positive squares in 4 ways, for example, as 3044390976 + 384473664 = 55176^2 + 19608^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3428864640² = 23514225438884659200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35349072 + ... + 35349168.

Almost surely, 2^3428864640 is an apocalyptic number.

3428864640 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 3428864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683875380).

3428864640 is an abundant number, since it is smaller than the sum of its proper divisors (9938886120).

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

3428864640 is a wasteful number, since it uses less digits than its factorization.

3428864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 3428864640 is about 58556.5080926109. The cubic root of 3428864640 is about 1507.9378660898.

The spelling of 3428864640 in words is "three billion, four hundred twenty-eight million, eight hundred sixty-four thousand, six hundred forty".