3553656064 has 144 divisors (see below), whose sum is σ = 8649946368. Its totient is φ = 1422360576.

The previous prime is 3553656061. The next prime is 3553656107. The reversal of 3553656064 is 4606563553.

3553656064 = T₁₀₄ + T₁₀₅ + ... + T₂₇₇₂.

It is a self number, because there is not a number n which added to its sum of digits gives 3553656064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3553656061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4782477 + ... + 4783219.

It is an arithmetic number, because the mean of its divisors is an integer number (60069072).

Almost surely, 2^3553656064 is an apocalyptic number.

3553656064 is a gapful number since it is divisible by the number (34) 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 3553656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324973184).

3553656064 is an abundant number, since it is smaller than the sum of its proper divisors (5096290304).

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

3553656064 is a wasteful number, since it uses less digits than its factorization.

3553656064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 43.

The square root of 3553656064 is about 59612.5495512480. The cubic root of 3553656064 is about 1526.0138114429.

The spelling of 3553656064 in words is "three billion, five hundred fifty-three million, six hundred fifty-six thousand, sixty-four".