3273612293952 has 2240 divisors, whose sum is σ = 14132769767424. Its totient is φ = 720697098240.

The previous prime is 3273612293947. The next prime is 3273612293983. The reversal of 3273612293952 is 2593922163723.

3273612293952 is a `hidden beast` number, since 3 + 2 + 7 + 361 + 229 + 3 + 9 + 52 = 666.

It is a super-2 number, since 2×3273612293952² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3793293073 + ... + 3793293935.

Almost surely, 2^{3273612293952} is an apocalyptic number.

3273612293952 is a gapful number since it is divisible by the number (32) 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 3273612293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7066384883712).

3273612293952 is an abundant number, since it is smaller than the sum of its proper divisors (10859157473472).

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

3273612293952 is a wasteful number, since it uses less digits than its factorization.

3273612293952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 959 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 3273612293952 in words is "three trillion, two hundred seventy-three billion, six hundred twelve million, two hundred ninety-three thousand, nine hundred fifty-two".