3692746506240 has 1920 divisors, whose sum is σ = 15829086873600. Its totient is φ = 815372697600.

The previous prime is 3692746506221. The next prime is 3692746506277. The reversal of 3692746506240 is 426056472963.

3692746506240 is a `hidden beast` number, since 3 + 6 + 9 + 2 + 7 + 4 + 6 + 5 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119120855025 + ... + 119120855055.

It is an arithmetic number, because the mean of its divisors is an integer number (8244316080).

Almost surely, 2^{3692746506240} is an apocalyptic number.

3692746506240 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 3692746506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7914543436800).

3692746506240 is an abundant number, since it is smaller than the sum of its proper divisors (12136340367360).

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

3692746506240 is an frugal number, since it uses more digits than its factorization.

3692746506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3692746506240 in words is "three trillion, six hundred ninety-two billion, seven hundred forty-six million, five hundred six thousand, two hundred forty".