3473264181240 has 1536 divisors, whose sum is σ = 15278284800000. Its totient is φ = 684775710720.

The previous prime is 3473264181227. The next prime is 3473264181269. The reversal of 3473264181240 is 421814623743.

3473264181240 is a `hidden beast` number, since 3 + 4 + 7 + 326 + 4 + 1 + 81 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1286869411 + ... + 1286872109.

It is an arithmetic number, because the mean of its divisors is an integer number (9946800000).

Almost surely, 2^{3473264181240} is an apocalyptic number.

3473264181240 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 3473264181240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7639142400000).

3473264181240 is an abundant number, since it is smaller than the sum of its proper divisors (11805020618760).

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

3473264181240 is a wasteful number, since it uses less digits than its factorization.

3473264181240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3473264181240 in words is "three trillion, four hundred seventy-three billion, two hundred sixty-four million, one hundred eighty-one thousand, two hundred forty".