3476992146048 has 384 divisors, whose sum is σ = 10476934977600. Its totient is φ = 1105703239680.

The previous prime is 3476992145867. The next prime is 3476992146097. The reversal of 3476992146048 is 8406412996743.

It is a happy number.

3476992146048 is a `hidden beast` number, since 3 + 4 + 7 + 6 + 9 + 9 + 2 + 14 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1114061928 + ... + 1114065048.

Almost surely, 2^{3476992146048} 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 3476992146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238467488800).

3476992146048 is an abundant number, since it is smaller than the sum of its proper divisors (6999942831552).

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

3476992146048 is a wasteful number, since it uses less digits than its factorization.

3476992146048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 3476992146048 in words is "three trillion, four hundred seventy-six billion, nine hundred ninety-two million, one hundred forty-six thousand, forty-eight".