3607406880 has 576 divisors, whose sum is σ = 15058068480. Its totient is φ = 708618240.

The previous prime is 3607406879. The next prime is 3607406923. The reversal of 3607406880 is 886047063.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7724407 + ... + 7724873.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 2^3607406880 is an apocalyptic number.

3607406880 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 3607406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529034240).

3607406880 is an abundant number, since it is smaller than the sum of its proper divisors (11450661600).

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

3607406880 is a wasteful number, since it uses less digits than its factorization.

3607406880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 3607406880 is about 60061.6922838509. The cubic root of 3607406880 is about 1533.6692488151.

The spelling of 3607406880 in words is "three billion, six hundred seven million, four hundred six thousand, eight hundred eighty".