3741454080 has 864 divisors, whose sum is σ = 16499298816. Its totient is φ = 761757696.

The previous prime is 3741454051. The next prime is 3741454109. The reversal of 3741454080 is 804541473.

3741454080 is a `hidden beast` number, since 37 + 4 + 1 + 4 + 540 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3741454051) and next prime (3741454109).

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

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, 45077719 + ... + 45077801.

Almost surely, 2^3741454080 is an apocalyptic number.

3741454080 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 3741454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249649408).

3741454080 is an abundant number, since it is smaller than the sum of its proper divisors (12757844736).

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

3741454080 is a wasteful number, since it uses less digits than its factorization.

3741454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3741454080 is about 61167.4266256150. The cubic root of 3741454080 is about 1552.4351704202.

It can be divided in two parts, 374145 and 4080, that added together give a square (378225 = 615²).

The spelling of 3741454080 in words is "three billion, seven hundred forty-one million, four hundred fifty-four thousand, eighty".