3747457661220 has 576 divisors, whose sum is σ = 14477320166400. Its totient is φ = 779524300800.

The previous prime is 3747457661131. The next prime is 3747457661221. The reversal of 3747457661220 is 221667547473.

3747457661220 is a `hidden beast` number, since 3 + 7 + 4 + 7 + 4 + 576 + 61 + 2 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3747457661221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56953140 + ... + 57018900.

It is an arithmetic number, because the mean of its divisors is an integer number (25134236400).

Almost surely, 2^{3747457661220} is an apocalyptic number.

3747457661220 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 3747457661220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238660083200).

3747457661220 is an abundant number, since it is smaller than the sum of its proper divisors (10729862505180).

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

3747457661220 is a wasteful number, since it uses less digits than its factorization.

3747457661220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65881 (or 65862 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 3747457661220 in words is "three trillion, seven hundred forty-seven billion, four hundred fifty-seven million, six hundred sixty-one thousand, two hundred twenty".