3465718563840 has 352 divisors, whose sum is σ = 12049207954560. Its totient is φ = 845121847296.

The previous prime is 3465718563821. The next prime is 3465718563871. The reversal of 3465718563840 is 483658175643.

It is a super-2 number, since 2×3465718563840² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21284656 + ... + 21446864.

Almost surely, 2^{3465718563840} is an apocalyptic number.

3465718563840 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 3465718563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024603977280).

3465718563840 is an abundant number, since it is smaller than the sum of its proper divisors (8583489390720).

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

3465718563840 is a wasteful number, since it uses less digits than its factorization.

3465718563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162357 (or 162339 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 3465718563840 in words is "three trillion, four hundred sixty-five billion, seven hundred eighteen million, five hundred sixty-three thousand, eight hundred forty".