3746027520 has 384 divisors, whose sum is σ = 14116939200. Its totient is φ = 938999808.

The previous prime is 3746027491. The next prime is 3746027531. The reversal of 3746027520 is 257206473.

It is a happy number.

3746027520 is a `hidden beast` number, since 3 + 74 + 60 + 2 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4699762 + ... + 4700558.

Almost surely, 2^3746027520 is an apocalyptic number.

3746027520 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 3746027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058469600).

3746027520 is an abundant number, since it is smaller than the sum of its proper divisors (10370911680).

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

3746027520 is a wasteful number, since it uses less digits than its factorization.

3746027520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3746027520 is about 61204.7998117795. The cubic root of 3746027520 is about 1553.0674627490.

It can be divided in two parts, 37460 and 27520, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 3746027520 in words is "three billion, seven hundred forty-six million, twenty-seven thousand, five hundred twenty".