3521458407072 has 96 divisors (see below), whose sum is σ = 9657661829760. Its totient is φ = 1121395404800.

The previous prime is 3521458407029. The next prime is 3521458407083. The reversal of 3521458407072 is 2707048541253.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3521458407072² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800572 + ... + 2771972.

It is an arithmetic number, because the mean of its divisors is an integer number (100600644060).

Almost surely, 2^{3521458407072} is an apocalyptic number.

3521458407072 is a gapful number since it is divisible by the number (32) 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 3521458407072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828830914880).

3521458407072 is an abundant number, since it is smaller than the sum of its proper divisors (6136203422688).

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

3521458407072 is a wasteful number, since it uses less digits than its factorization.

3521458407072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972246 (or 1972238 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 3521458407072 in words is "three trillion, five hundred twenty-one billion, four hundred fifty-eight million, four hundred seven thousand, seventy-two".