3746787840 has 480 divisors, whose sum is σ = 14209715520. Its totient is φ = 943570944.

The previous prime is 3746787833. The next prime is 3746787841. The reversal of 3746787840 is 487876473.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (3746787841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11819362 + ... + 11819678.

It is an arithmetic number, because the mean of its divisors is an integer number (29603574).

Almost surely, 2^3746787840 is an apocalyptic number.

3746787840 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 3746787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7104857760).

3746787840 is an abundant number, since it is smaller than the sum of its proper divisors (10462927680).

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

3746787840 is an equidigital number, since it uses as much as digits as its factorization.

3746787840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The square root of 3746787840 is about 61211.0107742063. The cubic root of 3746787840 is about 1553.1725294600.

The spelling of 3746787840 in words is "three billion, seven hundred forty-six million, seven hundred eighty-seven thousand, eight hundred forty".