3402214244352 has 1536 divisors, whose sum is σ = 13190717030400. Its totient is φ = 850408243200.

The previous prime is 3402214244329. The next prime is 3402214244447. The reversal of 3402214244352 is 2534424122043.

3402214244352 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 214 + 2 + 4 + 435 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19006783399 + ... + 19006783577.

It is an arithmetic number, because the mean of its divisors is an integer number (8587706400).

Almost surely, 2^{3402214244352} is an apocalyptic number.

3402214244352 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 3402214244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595358515200).

3402214244352 is an abundant number, since it is smaller than the sum of its proper divisors (9788502786048).

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

3402214244352 is an equidigital number, since it uses as much as digits as its factorization.

3402214244352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 3402214244352 its reverse (2534424122043), we get a palindrome (5936638366395).

The spelling of 3402214244352 in words is "three trillion, four hundred two billion, two hundred fourteen million, two hundred forty-four thousand, three hundred fifty-two".