3485587562496 has 560 divisors, whose sum is σ = 11476116660624. Its totient is φ = 1047435411456.

The previous prime is 3485587562489. The next prime is 3485587562503. The reversal of 3485587562496 is 6942657855843.

3485587562496 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 5 + 8 + 75 + 62 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (3485587562489) and next prime (3485587562503).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 370920870 + ... + 370930266.

Almost surely, 2^{3485587562496} is an apocalyptic number.

3485587562496 is a gapful number since it is divisible by the number (36) 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 3485587562496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5738058330312).

3485587562496 is an abundant number, since it is smaller than the sum of its proper divisors (7990529098128).

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

3485587562496 is an equidigital number, since it uses as much as digits as its factorization.

3485587562496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9491 (or 9458 counting only the distinct ones).

The product of its digits is 1741824000, while the sum is 72.

The spelling of 3485587562496 in words is "three trillion, four hundred eighty-five billion, five hundred eighty-seven million, five hundred sixty-two thousand, four hundred ninety-six".