3215105034240 has 384 divisors, whose sum is σ = 11264864607360. Its totient is φ = 776365670400.

The previous prime is 3215105034209. The next prime is 3215105034247. The reversal of 3215105034240 is 424305015123.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3215105034198 and 3215105034207.

It is not an unprimeable number, because it can be changed into a prime (3215105034247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86826930 + ... + 86863950.

It is an arithmetic number, because the mean of its divisors is an integer number (29335584915).

Almost surely, 2^{3215105034240} is an apocalyptic number.

3215105034240 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 3215105034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632432303680).

3215105034240 is an abundant number, since it is smaller than the sum of its proper divisors (8049759573120).

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

3215105034240 is a wasteful number, since it uses less digits than its factorization.

3215105034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37319 (or 37299 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 3215105034240 in words is "three trillion, two hundred fifteen billion, one hundred five million, thirty-four thousand, two hundred forty".