3251349803520 has 1920 divisors, whose sum is σ = 14368435361280. Its totient is φ = 661216296960.

The previous prime is 3251349803509. The next prime is 3251349803531. The reversal of 3251349803520 is 253089431523.

3251349803520 is a `hidden beast` number, since 3 + 2 + 5 + 1 + 3 + 49 + 80 + 3 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (3251349803509) and next prime (3251349803531).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9369883987 + ... + 9369884333.

It is an arithmetic number, because the mean of its divisors is an integer number (7483560084).

Almost surely, 2^{3251349803520} is an apocalyptic number.

3251349803520 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 3251349803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184217680640).

3251349803520 is an abundant number, since it is smaller than the sum of its proper divisors (11117085557760).

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

3251349803520 is a wasteful number, since it uses less digits than its factorization.

3251349803520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 3251349803520 in words is "three trillion, two hundred fifty-one billion, three hundred forty-nine million, eight hundred three thousand, five hundred twenty".