3401390630400 has 960 divisors, whose sum is σ = 13426096865280. Its totient is φ = 742713753600.

The previous prime is 3401390630371. The next prime is 3401390630401. The reversal of 3401390630400 is 40360931043.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401390630401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 658288617 + ... + 658293783.

It is an arithmetic number, because the mean of its divisors is an integer number (13985517568).

Almost surely, 2^{3401390630400} is an apocalyptic number.

3401390630400 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 3401390630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713048432640).

3401390630400 is an abundant number, since it is smaller than the sum of its proper divisors (10024706234880).

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

3401390630400 is a wasteful number, since it uses less digits than its factorization.

3401390630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 3401390630400 in words is "three trillion, four hundred one billion, three hundred ninety million, six hundred thirty thousand, four hundred".