3846804369408 has 2106 divisors, whose sum is σ = 15695273047272. Its totient is φ = 922310737920.

The previous prime is 3846804369367. The next prime is 3846804369427. The reversal of 3846804369408 is 8049634086483.

3846804369408 is a `hidden beast` number, since 3 + 84 + 6 + 80 + 436 + 9 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2106).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 295908028410 + ... + 295908028422.

Almost surely, 2^{3846804369408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3846804369408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7847636523636).

3846804369408 is an abundant number, since it is smaller than the sum of its proper divisors (11848468677864).

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

3846804369408 is an frugal number, since it uses more digits than its factorization.

3846804369408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

Multiplying 3846804369408 by its sum of digits (63), we get a square (242348675272704 = 15567552²).

3846804369408 divided by its sum of digits (63) gives a square (61060386816 = 247104²).

The spelling of 3846804369408 in words is "three trillion, eight hundred forty-six billion, eight hundred four million, three hundred sixty-nine thousand, four hundred eight".