3579655680 has 400 divisors, whose sum is σ = 13077426384. Its totient is φ = 935608320.

The previous prime is 3579655633. The next prime is 3579655691. The reversal of 3579655680 is 865569753.

3579655680 is a `hidden beast` number, since 3 + 5 + 7 + 9 + 6 + 556 + 80 = 666.

It is a super-3 number, since 3×3579655680³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12648819 + ... + 12649101.

Almost surely, 2^3579655680 is an apocalyptic number.

3579655680 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 3579655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538713192).

3579655680 is an abundant number, since it is smaller than the sum of its proper divisors (9497770704).

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

3579655680 is an equidigital number, since it uses as much as digits as its factorization.

3579655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 3579655680 is about 59830.2238003503. The cubic root of 3579655680 is about 1529.7263639820.

The spelling of 3579655680 in words is "three billion, five hundred seventy-nine million, six hundred fifty-five thousand, six hundred eighty".