3896926450560 has 1024 divisors, whose sum is σ = 17168462438400. Its totient is φ = 820734197760.

The previous prime is 3896926450523. The next prime is 3896926450583. The reversal of 3896926450560 is 650546296983.

3896926450560 is a `hidden beast` number, since 3 + 8 + 9 + 6 + 9 + 2 + 64 + 5 + 0 + 560 = 666.

It is a super-2 number, since 2×3896926450560² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41961297 + ... + 42054063.

It is an arithmetic number, because the mean of its divisors is an integer number (16766076600).

Almost surely, 2^{3896926450560} is an apocalyptic number.

3896926450560 is a gapful number since it is divisible by the number (30) 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 3896926450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8584231219200).

3896926450560 is an abundant number, since it is smaller than the sum of its proper divisors (13271535987840).

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

3896926450560 is a wasteful number, since it uses less digits than its factorization.

3896926450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92836 (or 92818 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 3896926450560 in words is "three trillion, eight hundred ninety-six billion, nine hundred twenty-six million, four hundred fifty thousand, five hundred sixty".