3401073640000 has 105 divisors (see below), whose sum is σ = 8434471980781. Its totient is φ = 1360281920000.

The previous prime is 3401073639983. The next prime is 3401073640007. The reversal of 3401073640000 is 463701043.

The square root of 3401073640000 is 1844200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1010314460736 + 2390759179264 = 1005144^2 + 1546208^2 .

It is a super-3 number, since 3×3401073640000³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3401073640007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 368835390 + ... + 368844610.

Almost surely, 2^{3401073640000} is an apocalyptic number.

3401073640000 is the 1844200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401073640000

3401073640000 is an abundant number, since it is smaller than the sum of its proper divisors (5033398340781).

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

3401073640000 is an frugal number, since it uses more digits than its factorization.

3401073640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18474 (or 9228 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 3401073640000 in words is "three trillion, four hundred one billion, seventy-three million, six hundred forty thousand".