3746040000 has 560 divisors, whose sum is σ = 13711610880. Its totient is φ = 898560000.

The previous prime is 3746039971. The next prime is 3746040007. The reversal of 3746040000 is 406473.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3746040007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70679974 + ... + 70680026.

Almost surely, 2^3746040000 is an apocalyptic number.

3746040000 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 3746040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855805440).

3746040000 is an abundant number, since it is smaller than the sum of its proper divisors (9965570880).

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

3746040000 is a wasteful number, since it uses less digits than its factorization.

3746040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3746040000 is about 61204.9017644829. The cubic root of 3746040000 is about 1553.0691874436.

Adding to 3746040000 its reverse (406473), we get a palindrome (3746446473).

The spelling of 3746040000 in words is "three billion, seven hundred forty-six million, forty thousand".