3216397721040 has 400 divisors, whose sum is σ = 12773839529088. Its totient is φ = 734776261632.

The previous prime is 3216397721021. The next prime is 3216397721059. The reversal of 3216397721040 is 401277936123.

3216397721040 is a `hidden beast` number, since 3 + 2 + 1 + 6 + 397 + 7 + 210 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3216397721021) and next prime (3216397721059).

It is a super-2 number, since 2×3216397721040² (a number of 26 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 87662539 + ... + 87699221.

Almost surely, 2^{3216397721040} is an apocalyptic number.

3216397721040 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 3216397721040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386919764544).

3216397721040 is an abundant number, since it is smaller than the sum of its proper divisors (9557441808048).

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

3216397721040 is a wasteful number, since it uses less digits than its factorization.

3216397721040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38648 (or 38633 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 3216397721040 in words is "three trillion, two hundred sixteen billion, three hundred ninety-seven million, seven hundred twenty-one thousand, forty".