3400341534720 has 1344 divisors, whose sum is σ = 13543948323360. Its totient is φ = 813525368832.

The previous prime is 3400341534697. The next prime is 3400341534731. The reversal of 3400341534720 is 274351430043.

3400341534720 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 34 + 153 + 472 + 0 = 666.

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 111 ways as a sum of consecutive naturals, for example, 3590645287 + ... + 3590646233.

Almost surely, 2^{3400341534720} is an apocalyptic number.

3400341534720 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 3400341534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771974161680).

3400341534720 is an abundant number, since it is smaller than the sum of its proper divisors (10143606788640).

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

3400341534720 is an equidigital number, since it uses as much as digits as its factorization.

3400341534720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 3400341534720 its reverse (274351430043), we get a palindrome (3674692964763).

The spelling of 3400341534720 in words is "three trillion, four hundred billion, three hundred forty-one million, five hundred thirty-four thousand, seven hundred twenty".