3485961102240 has 576 divisors, whose sum is σ = 12615477114240. Its totient is φ = 874113638400.

The previous prime is 3485961102229. The next prime is 3485961102251. The reversal of 3485961102240 is 422011695843.

3485961102240 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 9 + 611 + 0 + 2 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3485961102229) and next prime (3485961102251).

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 95 ways as a sum of consecutive naturals, for example, 2402453515 + ... + 2402454965.

It is an arithmetic number, because the mean of its divisors is an integer number (21901869990).

Almost surely, 2^{3485961102240} is an apocalyptic number.

3485961102240 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 3485961102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6307738557120).

3485961102240 is an abundant number, since it is smaller than the sum of its proper divisors (9129516012000).

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

3485961102240 is a wasteful number, since it uses less digits than its factorization.

3485961102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3485961102240 in words is "three trillion, four hundred eighty-five billion, nine hundred sixty-one million, one hundred two thousand, two hundred forty".