3501987840 has 576 divisors, whose sum is σ = 13594089600. Its totient is φ = 828112896.

The previous prime is 3501987833. The next prime is 3501987851. The reversal of 3501987840 is 487891053.

3501987840 is a `hidden beast` number, since 350 + 198 + 78 + 40 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44328921 + ... + 44328999.

It is an arithmetic number, because the mean of its divisors is an integer number (23600850).

Almost surely, 2^3501987840 is an apocalyptic number.

3501987840 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 3501987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797044800).

3501987840 is an abundant number, since it is smaller than the sum of its proper divisors (10092101760).

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

3501987840 is a wasteful number, since it uses less digits than its factorization.

3501987840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3501987840 is about 59177.5957605579. The cubic root of 3501987840 is about 1518.5818721574.

The spelling of 3501987840 in words is "three billion, five hundred one million, nine hundred eighty-seven thousand, eight hundred forty".