3467955536496 has 320 divisors, whose sum is σ = 11019974676480. Its totient is φ = 1035363168000.

The previous prime is 3467955536473. The next prime is 3467955536503. The reversal of 3467955536496 is 6946355597643.

3467955536496 is a `hidden beast` number, since 3 + 4 + 6 + 7 + 9 + 5 + 553 + 64 + 9 + 6 = 666.

It is a super-2 number, since 2×3467955536496² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 651501291 + ... + 651506613.

It is an arithmetic number, because the mean of its divisors is an integer number (34437420864).

Almost surely, 2^{3467955536496} is an apocalyptic number.

3467955536496 is a gapful number since it is divisible by the number (36) 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 3467955536496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509987338240).

3467955536496 is an abundant number, since it is smaller than the sum of its proper divisors (7552019139984).

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

3467955536496 is a wasteful number, since it uses less digits than its factorization.

3467955536496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7353 (or 7341 counting only the distinct ones).

The product of its digits is 2204496000, while the sum is 72.

The spelling of 3467955536496 in words is "three trillion, four hundred sixty-seven billion, nine hundred fifty-five million, five hundred thirty-six thousand, four hundred ninety-six".