3501247680 has 560 divisors, whose sum is σ = 14870338560. Its totient is φ = 764577792.

The previous prime is 3501247649. The next prime is 3501247741. The reversal of 3501247680 is 867421053.

3501247680 is a `hidden beast` number, since 3 + 501 + 2 + 4 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4172701 + ... + 4173539.

It is an arithmetic number, because the mean of its divisors is an integer number (26554176).

Almost surely, 2^3501247680 is an apocalyptic number.

3501247680 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 3501247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7435169280).

3501247680 is an abundant number, since it is smaller than the sum of its proper divisors (11369090880).

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

3501247680 is a wasteful number, since it uses less digits than its factorization.

3501247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3501247680 is about 59171.3417120146. The cubic root of 3501247680 is about 1518.4748783769.

The spelling of 3501247680 in words is "three billion, five hundred one million, two hundred forty-seven thousand, six hundred eighty".