3420150820632 has 512 divisors, whose sum is σ = 12340887552000. Its totient is φ = 852276349440.

The previous prime is 3420150820571. The next prime is 3420150820663. The reversal of 3420150820632 is 2360280510243.

3420150820632 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 15 + 0 + 8 + 2 + 0 + 632 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143024757 + ... + 143048667.

It is an arithmetic number, because the mean of its divisors is an integer number (24103296000).

Almost surely, 2^{3420150820632} 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 3420150820632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170443776000).

3420150820632 is an abundant number, since it is smaller than the sum of its proper divisors (8920736731368).

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

3420150820632 is a wasteful number, since it uses less digits than its factorization.

3420150820632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24348 (or 24338 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3420150820632 in words is "three trillion, four hundred twenty billion, one hundred fifty million, eight hundred twenty thousand, six hundred thirty-two".