3523493928240 has 1600 divisors, whose sum is σ = 15549924741120. Its totient is φ = 726151495680.

The previous prime is 3523493928211. The next prime is 3523493928263. The reversal of 3523493928240 is 428293943253.

3523493928240 is a `hidden beast` number, since 3 + 5 + 2 + 3 + 4 + 9 + 392 + 8 + 240 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 740382981 + ... + 740387739.

Almost surely, 2^{3523493928240} is an apocalyptic number.

3523493928240 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 3523493928240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7774962370560).

3523493928240 is an abundant number, since it is smaller than the sum of its proper divisors (12026430812880).

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

3523493928240 is a wasteful number, since it uses less digits than its factorization.

3523493928240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 4857 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3523493928240 in words is "three trillion, five hundred twenty-three billion, four hundred ninety-three million, nine hundred twenty-eight thousand, two hundred forty".