3400345953620 has 288 divisors, whose sum is σ = 9163426237056. Its totient is φ = 1047978624000.

The previous prime is 3400345953607. The next prime is 3400345953647. The reversal of 3400345953620 is 263595430043.

It is a happy number.

3400345953620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3400345953620² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 1102932599 + ... + 1102935681.

It is an arithmetic number, because the mean of its divisors is an integer number (31817452212).

Almost surely, 2^{3400345953620} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400345953620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4581713118528).

3400345953620 is an abundant number, since it is smaller than the sum of its proper divisors (5763080283436).

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

3400345953620 is a wasteful number, since it uses less digits than its factorization.

3400345953620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 44.

The spelling of 3400345953620 in words is "three trillion, four hundred billion, three hundred forty-five million, nine hundred fifty-three thousand, six hundred twenty".