3400505650116 has 81 divisors (see below), whose sum is σ = 8926658036751. Its totient is φ = 1133402304888.

The previous prime is 3400505650099. The next prime is 3400505650133. The reversal of 3400505650116 is 6110565050043.

The square root of 3400505650116 is 1844046.

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

3400505650116 is a `hidden beast` number, since 3 + 40 + 0 + 50 + 56 + 501 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (3400505650099) and next prime (3400505650133).

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 298729761 + ... + 298741143.

Almost surely, 2^{3400505650116} is an apocalyptic number.

3400505650116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3400505650116 is the 1844046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400505650116

3400505650116 is an abundant number, since it is smaller than the sum of its proper divisors (5526152386635).

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

3400505650116 is an frugal number, since it uses more digits than its factorization.

3400505650116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22794 (or 11388 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Multiplying 3400505650116 by its sum of digits (36), we get a square (122418203404176 = 11064276²).

3400505650116 divided by its sum of digits (36) gives a square (94458490281 = 307341²).

The spelling of 3400505650116 in words is "three trillion, four hundred billion, five hundred five million, six hundred fifty thousand, one hundred sixteen".