3400744756500 has 384 divisors, whose sum is σ = 13542526233600. Its totient is φ = 717519513600.

The previous prime is 3400744756477. The next prime is 3400744756517. The reversal of 3400744756500 is 56574470043.

3400744756500 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 74 + 4 + 75 + 6 + 500 = 666.

3400744756500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 155605 + ... + 2612604.

It is an arithmetic number, because the mean of its divisors is an integer number (35266995400).

Almost surely, 2^{3400744756500} is an apocalyptic number.

3400744756500 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 3400744756500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771263116800).

3400744756500 is an abundant number, since it is smaller than the sum of its proper divisors (10141781477100).

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

3400744756500 is a wasteful number, since it uses less digits than its factorization.

3400744756500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768257 (or 2768239 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 3400744756500 in words is "three trillion, four hundred billion, seven hundred forty-four million, seven hundred fifty-six thousand, five hundred".