340728892416 has 528 divisors, whose sum is σ = 1119521789568. Its totient is φ = 102651494400.

The previous prime is 340728892409. The next prime is 340728892487. The reversal of 340728892416 is 614298827043.

340728892416 is a `hidden beast` number, since 340 + 7 + 288 + 9 + 2 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 769139491 + ... + 769139933.

Almost surely, 2^340728892416 is an apocalyptic number.

340728892416 is a gapful number since it is divisible by the number (36) 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 340728892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559760894784).

340728892416 is an abundant number, since it is smaller than the sum of its proper divisors (778792897152).

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

340728892416 is a wasteful number, since it uses less digits than its factorization.

340728892416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 340728892416 in words is "three hundred forty billion, seven hundred twenty-eight million, eight hundred ninety-two thousand, four hundred sixteen".