3473581962240 has 1056 divisors, whose sum is σ = 14168163050496. Its totient is φ = 778709237760.

The previous prime is 3473581962217. The next prime is 3473581962247. The reversal of 3473581962240 is 422691853743.

3473581962240 is a `hidden beast` number, since 3 + 4 + 7 + 3 + 5 + 8 + 1 + 9 + 622 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3473581962247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315688579 + ... + 315699581.

It is a 1-persistent number, because it is pandigital, but 2⋅3473581962240 = 6947163924480 is not.

Almost surely, 2^{3473581962240} is an apocalyptic number.

3473581962240 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 3473581962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7084081525248).

3473581962240 is an abundant number, since it is smaller than the sum of its proper divisors (10694581088256).

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

3473581962240 is a wasteful number, since it uses less digits than its factorization.

3473581962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11095 (or 11074 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3473581962240 in words is "three trillion, four hundred seventy-three billion, five hundred eighty-one million, nine hundred sixty-two thousand, two hundred forty".