3463919454240 has 1152 divisors, whose sum is σ = 14455911214080. Its totient is φ = 772073938944.

The previous prime is 3463919454197. The next prime is 3463919454277. The reversal of 3463919454240 is 424549193643.

It is a happy number.

3463919454240 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 9 + 1 + 94 + 542 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3949736682 + ... + 3949737558.

It is an arithmetic number, because the mean of its divisors is an integer number (12548534040).

Almost surely, 2^{3463919454240} is an apocalyptic number.

3463919454240 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 3463919454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227955607040).

3463919454240 is an abundant number, since it is smaller than the sum of its proper divisors (10991991759840).

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

3463919454240 is a wasteful number, since it uses less digits than its factorization.

3463919454240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3463919454240 in words is "three trillion, four hundred sixty-three billion, nine hundred nineteen million, four hundred fifty-four thousand, two hundred forty".